refactor: rename top level directories
This commit is contained in:
parent
ccaa48141f
commit
1fefb18701
200 changed files with 4560 additions and 489 deletions
392
PhysLean.lean
392
PhysLean.lean
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@ -1,107 +1,107 @@
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import PhysLean.AnomalyCancellation.Basic
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import PhysLean.AnomalyCancellation.GroupActions
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import PhysLean.AnomalyCancellation.MSSMNu.B3
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import PhysLean.AnomalyCancellation.MSSMNu.Basic
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import PhysLean.AnomalyCancellation.MSSMNu.HyperCharge
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import PhysLean.AnomalyCancellation.MSSMNu.LineY3B3
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import PhysLean.AnomalyCancellation.MSSMNu.OrthogY3B3.Basic
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import PhysLean.AnomalyCancellation.MSSMNu.OrthogY3B3.PlaneWithY3B3
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import PhysLean.AnomalyCancellation.MSSMNu.OrthogY3B3.ToSols
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import PhysLean.AnomalyCancellation.MSSMNu.Permutations
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import PhysLean.AnomalyCancellation.MSSMNu.Y3
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import PhysLean.AnomalyCancellation.PureU1.Basic
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import PhysLean.AnomalyCancellation.PureU1.BasisLinear
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import PhysLean.AnomalyCancellation.PureU1.ConstAbs
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import PhysLean.AnomalyCancellation.PureU1.Even.BasisLinear
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import PhysLean.AnomalyCancellation.PureU1.Even.LineInCubic
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import PhysLean.AnomalyCancellation.PureU1.Even.Parameterization
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import PhysLean.AnomalyCancellation.PureU1.LineInPlaneCond
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import PhysLean.AnomalyCancellation.PureU1.LowDim.One
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import PhysLean.AnomalyCancellation.PureU1.LowDim.Three
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import PhysLean.AnomalyCancellation.PureU1.LowDim.Two
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import PhysLean.AnomalyCancellation.PureU1.Odd.BasisLinear
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import PhysLean.AnomalyCancellation.PureU1.Odd.LineInCubic
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import PhysLean.AnomalyCancellation.PureU1.Odd.Parameterization
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import PhysLean.AnomalyCancellation.PureU1.Permutations
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import PhysLean.AnomalyCancellation.PureU1.Sorts
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import PhysLean.AnomalyCancellation.PureU1.VectorLike
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import PhysLean.AnomalyCancellation.SM.Basic
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import PhysLean.AnomalyCancellation.SM.FamilyMaps
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import PhysLean.AnomalyCancellation.SM.NoGrav.Basic
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import PhysLean.AnomalyCancellation.SM.NoGrav.One.Lemmas
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import PhysLean.AnomalyCancellation.SM.NoGrav.One.LinearParameterization
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import PhysLean.AnomalyCancellation.SM.Permutations
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import PhysLean.AnomalyCancellation.SMNu.Basic
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import PhysLean.AnomalyCancellation.SMNu.FamilyMaps
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import PhysLean.AnomalyCancellation.SMNu.NoGrav.Basic
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import PhysLean.AnomalyCancellation.SMNu.Ordinary.Basic
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import PhysLean.AnomalyCancellation.SMNu.Ordinary.DimSevenPlane
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import PhysLean.AnomalyCancellation.SMNu.Ordinary.FamilyMaps
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import PhysLean.AnomalyCancellation.SMNu.Permutations
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.BMinusL
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.Basic
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.BoundPlaneDim
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.HyperCharge
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.PlaneNonSols
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.QuadSol
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import PhysLean.AnomalyCancellation.SMNu.PlusU1.QuadSolToSol
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import PhysLean.BeyondTheStandardModel.GeorgiGlashow.Basic
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import PhysLean.BeyondTheStandardModel.PatiSalam.Basic
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import PhysLean.BeyondTheStandardModel.Spin10.Basic
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import PhysLean.BeyondTheStandardModel.TwoHDM.Basic
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import PhysLean.BeyondTheStandardModel.TwoHDM.GaugeOrbits
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import PhysLean.FlavorPhysics.CKMMatrix.Basic
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import PhysLean.FlavorPhysics.CKMMatrix.Invariants
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import PhysLean.FlavorPhysics.CKMMatrix.PhaseFreedom
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import PhysLean.FlavorPhysics.CKMMatrix.Relations
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import PhysLean.FlavorPhysics.CKMMatrix.Rows
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import PhysLean.FlavorPhysics.CKMMatrix.StandardParameterization.Basic
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import PhysLean.FlavorPhysics.CKMMatrix.StandardParameterization.StandardParameters
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import PhysLean.Lorentz.Algebra.Basic
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import PhysLean.Lorentz.Algebra.Basis
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import PhysLean.Lorentz.Bispinors.Basic
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import PhysLean.Lorentz.ComplexTensor.Basic
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import PhysLean.Lorentz.ComplexTensor.Basis
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import PhysLean.Lorentz.ComplexTensor.Lemmas
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import PhysLean.Lorentz.ComplexTensor.Metrics.Basic
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import PhysLean.Lorentz.ComplexTensor.Metrics.Basis
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import PhysLean.Lorentz.ComplexTensor.Metrics.Lemmas
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import PhysLean.Lorentz.ComplexTensor.OfRat
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import PhysLean.Lorentz.ComplexTensor.Units.Basic
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import PhysLean.Lorentz.ComplexTensor.Units.Basis
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import PhysLean.Lorentz.ComplexTensor.Units.Symm
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import PhysLean.Lorentz.ComplexVector.Basic
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import PhysLean.Lorentz.ComplexVector.Contraction
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import PhysLean.Lorentz.ComplexVector.Metric
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import PhysLean.Lorentz.ComplexVector.Modules
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import PhysLean.Lorentz.ComplexVector.Two
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import PhysLean.Lorentz.ComplexVector.Unit
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import PhysLean.Lorentz.Group.Basic
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import PhysLean.Lorentz.Group.Boosts
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import PhysLean.Lorentz.Group.Orthochronous
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import PhysLean.Lorentz.Group.Proper
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import PhysLean.Lorentz.Group.Restricted
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import PhysLean.Lorentz.Group.Rotations
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import PhysLean.Lorentz.MinkowskiMatrix
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import PhysLean.Lorentz.PauliMatrices.AsTensor
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import PhysLean.Lorentz.PauliMatrices.Basic
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import PhysLean.Lorentz.PauliMatrices.Basis
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import PhysLean.Lorentz.PauliMatrices.Matrix
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import PhysLean.Lorentz.PauliMatrices.Relations
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import PhysLean.Lorentz.PauliMatrices.SelfAdjoint
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import PhysLean.Lorentz.RealVector.Basic
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import PhysLean.Lorentz.RealVector.Contraction
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import PhysLean.Lorentz.RealVector.Modules
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import PhysLean.Lorentz.RealVector.NormOne
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import PhysLean.Lorentz.SL2C.Basic
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import PhysLean.Lorentz.SL2C.SelfAdjoint
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import PhysLean.Lorentz.Weyl.Basic
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import PhysLean.Lorentz.Weyl.Contraction
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import PhysLean.Lorentz.Weyl.Metric
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import PhysLean.Lorentz.Weyl.Modules
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import PhysLean.Lorentz.Weyl.Two
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import PhysLean.Lorentz.Weyl.Unit
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import PhysLean.QFT.AnomalyCancellation.Basic
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import PhysLean.QFT.AnomalyCancellation.GroupActions
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.B3
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.Basic
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.HyperCharge
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.LineY3B3
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.OrthogY3B3.Basic
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.OrthogY3B3.PlaneWithY3B3
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.OrthogY3B3.ToSols
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.Permutations
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import PhysLean.QFT.AnomalyCancellation.MSSMNu.Y3
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import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
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import PhysLean.QFT.AnomalyCancellation.PureU1.BasisLinear
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import PhysLean.QFT.AnomalyCancellation.PureU1.ConstAbs
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import PhysLean.QFT.AnomalyCancellation.PureU1.Even.BasisLinear
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import PhysLean.QFT.AnomalyCancellation.PureU1.Even.LineInCubic
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import PhysLean.QFT.AnomalyCancellation.PureU1.Even.Parameterization
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import PhysLean.QFT.AnomalyCancellation.PureU1.LineInPlaneCond
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import PhysLean.QFT.AnomalyCancellation.PureU1.LowDim.One
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import PhysLean.QFT.AnomalyCancellation.PureU1.LowDim.Three
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import PhysLean.QFT.AnomalyCancellation.PureU1.LowDim.Two
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import PhysLean.QFT.AnomalyCancellation.PureU1.Odd.BasisLinear
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import PhysLean.QFT.AnomalyCancellation.PureU1.Odd.LineInCubic
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import PhysLean.QFT.AnomalyCancellation.PureU1.Odd.Parameterization
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import PhysLean.QFT.AnomalyCancellation.PureU1.Permutations
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import PhysLean.QFT.AnomalyCancellation.PureU1.Sorts
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import PhysLean.QFT.AnomalyCancellation.PureU1.VectorLike
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import PhysLean.QFT.AnomalyCancellation.SM.Basic
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import PhysLean.QFT.AnomalyCancellation.SM.FamilyMaps
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import PhysLean.QFT.AnomalyCancellation.SM.NoGrav.Basic
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import PhysLean.QFT.AnomalyCancellation.SM.NoGrav.One.Lemmas
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import PhysLean.QFT.AnomalyCancellation.SM.NoGrav.One.LinearParameterization
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import PhysLean.QFT.AnomalyCancellation.SM.Permutations
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import PhysLean.QFT.AnomalyCancellation.SMNu.Basic
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import PhysLean.QFT.AnomalyCancellation.SMNu.FamilyMaps
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import PhysLean.QFT.AnomalyCancellation.SMNu.NoGrav.Basic
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import PhysLean.QFT.AnomalyCancellation.SMNu.Ordinary.Basic
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import PhysLean.QFT.AnomalyCancellation.SMNu.Ordinary.DimSevenPlane
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import PhysLean.QFT.AnomalyCancellation.SMNu.Ordinary.FamilyMaps
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import PhysLean.QFT.AnomalyCancellation.SMNu.Permutations
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.BMinusL
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.Basic
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.BoundPlaneDim
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.HyperCharge
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.PlaneNonSols
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.QuadSol
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import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.QuadSolToSol
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import PhysLean.Particles.BeyondTheStandardModel.GeorgiGlashow.Basic
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import PhysLean.Particles.BeyondTheStandardModel.PatiSalam.Basic
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import PhysLean.Particles.BeyondTheStandardModel.Spin10.Basic
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import PhysLean.Particles.BeyondTheStandardModel.TwoHDM.Basic
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import PhysLean.Particles.BeyondTheStandardModel.TwoHDM.GaugeOrbits
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.Basic
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.Invariants
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.PhaseFreedom
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.Relations
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.Rows
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.StandardParameterization.Basic
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import PhysLean.Particles.FlavorPhysics.CKMMatrix.StandardParameterization.StandardParameters
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import PhysLean.Relativity.Lorentz.Algebra.Basic
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import PhysLean.Relativity.Lorentz.Algebra.Basis
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import PhysLean.Relativity.Lorentz.Bispinors.Basic
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import PhysLean.Relativity.Lorentz.ComplexTensor.Basic
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import PhysLean.Relativity.Lorentz.ComplexTensor.Basis
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import PhysLean.Relativity.Lorentz.ComplexTensor.Lemmas
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import PhysLean.Relativity.Lorentz.ComplexTensor.Metrics.Basic
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import PhysLean.Relativity.Lorentz.ComplexTensor.Metrics.Basis
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import PhysLean.Relativity.Lorentz.ComplexTensor.Metrics.Lemmas
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import PhysLean.Relativity.Lorentz.ComplexTensor.OfRat
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import PhysLean.Relativity.Lorentz.ComplexTensor.Units.Basic
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import PhysLean.Relativity.Lorentz.ComplexTensor.Units.Basis
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import PhysLean.Relativity.Lorentz.ComplexTensor.Units.Symm
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import PhysLean.Relativity.Lorentz.ComplexVector.Basic
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import PhysLean.Relativity.Lorentz.ComplexVector.Contraction
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import PhysLean.Relativity.Lorentz.ComplexVector.Metric
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import PhysLean.Relativity.Lorentz.ComplexVector.Modules
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import PhysLean.Relativity.Lorentz.ComplexVector.Two
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import PhysLean.Relativity.Lorentz.ComplexVector.Unit
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import PhysLean.Relativity.Lorentz.Group.Basic
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import PhysLean.Relativity.Lorentz.Group.Boosts
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import PhysLean.Relativity.Lorentz.Group.Orthochronous
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import PhysLean.Relativity.Lorentz.Group.Proper
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import PhysLean.Relativity.Lorentz.Group.Restricted
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import PhysLean.Relativity.Lorentz.Group.Rotations
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import PhysLean.Relativity.Lorentz.MinkowskiMatrix
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import PhysLean.Relativity.Lorentz.PauliMatrices.AsTensor
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import PhysLean.Relativity.Lorentz.PauliMatrices.Basic
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import PhysLean.Relativity.Lorentz.PauliMatrices.Basis
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import PhysLean.Relativity.Lorentz.PauliMatrices.Matrix
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import PhysLean.Relativity.Lorentz.PauliMatrices.Relations
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import PhysLean.Relativity.Lorentz.PauliMatrices.SelfAdjoint
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import PhysLean.Relativity.Lorentz.RealVector.Basic
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import PhysLean.Relativity.Lorentz.RealVector.Contraction
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import PhysLean.Relativity.Lorentz.RealVector.Modules
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import PhysLean.Relativity.Lorentz.RealVector.NormOne
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import PhysLean.Relativity.Lorentz.SL2C.Basic
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import PhysLean.Relativity.Lorentz.SL2C.SelfAdjoint
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import PhysLean.Relativity.Lorentz.Weyl.Basic
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import PhysLean.Relativity.Lorentz.Weyl.Contraction
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import PhysLean.Relativity.Lorentz.Weyl.Metric
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import PhysLean.Relativity.Lorentz.Weyl.Modules
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import PhysLean.Relativity.Lorentz.Weyl.Two
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import PhysLean.Relativity.Lorentz.Weyl.Unit
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import PhysLean.Mathematics.Fin
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import PhysLean.Mathematics.Fin.Involutions
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import PhysLean.Mathematics.LinearMaps
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@ -125,101 +125,101 @@ import PhysLean.Meta.Remark.Basic
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import PhysLean.Meta.Remark.Properties
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import PhysLean.Meta.TODO.Basic
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import PhysLean.Meta.TransverseTactics
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import PhysLean.PerturbationTheory.CreateAnnihilate
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import PhysLean.PerturbationTheory.FeynmanDiagrams.Basic
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import PhysLean.PerturbationTheory.FeynmanDiagrams.Instances.ComplexScalar
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import PhysLean.PerturbationTheory.FeynmanDiagrams.Instances.Phi4
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import PhysLean.PerturbationTheory.FeynmanDiagrams.Momentum
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import PhysLean.PerturbationTheory.FieldOpAlgebra.Basic
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import PhysLean.PerturbationTheory.FieldOpAlgebra.Grading
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import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.Basic
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import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
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import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
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import PhysLean.PerturbationTheory.FieldOpAlgebra.StaticWickTerm
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import PhysLean.PerturbationTheory.FieldOpAlgebra.StaticWickTheorem
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import PhysLean.PerturbationTheory.FieldOpAlgebra.SuperCommute
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import PhysLean.PerturbationTheory.FieldOpAlgebra.TimeContraction
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import PhysLean.PerturbationTheory.FieldOpAlgebra.TimeOrder
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import PhysLean.PerturbationTheory.FieldOpAlgebra.Universality
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import PhysLean.PerturbationTheory.FieldOpAlgebra.WickTerm
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import PhysLean.PerturbationTheory.FieldOpAlgebra.WicksTheorem
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import PhysLean.PerturbationTheory.FieldOpAlgebra.WicksTheoremNormal
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Basic
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Grading
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.NormTimeOrder
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.NormalOrder
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
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import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
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import PhysLean.PerturbationTheory.FieldSpecification.Basic
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import PhysLean.PerturbationTheory.FieldSpecification.CrAnFieldOp
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import PhysLean.PerturbationTheory.FieldSpecification.CrAnSection
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import PhysLean.PerturbationTheory.FieldSpecification.Filters
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import PhysLean.PerturbationTheory.FieldSpecification.NormalOrder
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import PhysLean.PerturbationTheory.FieldSpecification.TimeOrder
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import PhysLean.PerturbationTheory.FieldStatistics.Basic
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import PhysLean.PerturbationTheory.FieldStatistics.ExchangeSign
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import PhysLean.PerturbationTheory.FieldStatistics.OfFinset
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import PhysLean.PerturbationTheory.Koszul.KoszulSign
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import PhysLean.PerturbationTheory.Koszul.KoszulSignInsert
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import PhysLean.PerturbationTheory.WickContraction.Basic
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import PhysLean.PerturbationTheory.WickContraction.Card
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import PhysLean.PerturbationTheory.WickContraction.Erase
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import PhysLean.PerturbationTheory.WickContraction.ExtractEquiv
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import PhysLean.PerturbationTheory.WickContraction.InsertAndContract
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import PhysLean.PerturbationTheory.WickContraction.InsertAndContractNat
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import PhysLean.PerturbationTheory.WickContraction.Involutions
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import PhysLean.PerturbationTheory.WickContraction.IsFull
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import PhysLean.PerturbationTheory.WickContraction.Join
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import PhysLean.PerturbationTheory.WickContraction.Sign.Basic
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import PhysLean.PerturbationTheory.WickContraction.Sign.InsertNone
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import PhysLean.PerturbationTheory.WickContraction.Sign.InsertSome
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import PhysLean.PerturbationTheory.WickContraction.Sign.Join
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import PhysLean.PerturbationTheory.WickContraction.Singleton
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import PhysLean.PerturbationTheory.WickContraction.StaticContract
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import PhysLean.PerturbationTheory.WickContraction.SubContraction
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import PhysLean.PerturbationTheory.WickContraction.TimeCond
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import PhysLean.PerturbationTheory.WickContraction.TimeContract
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import PhysLean.PerturbationTheory.WickContraction.Uncontracted
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import PhysLean.PerturbationTheory.WickContraction.UncontractedList
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import PhysLean.QFT.PerturbationTheory.CreateAnnihilate
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import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Basic
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import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Instances.ComplexScalar
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import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Instances.Phi4
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import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Momentum
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Basic
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Grading
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.Basic
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.StaticWickTerm
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.StaticWickTheorem
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.SuperCommute
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.TimeContraction
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.TimeOrder
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Universality
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.WickTerm
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.WicksTheorem
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import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.WicksTheoremNormal
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Grading
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.NormTimeOrder
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.NormalOrder
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
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import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.Basic
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnSection
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.Filters
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.NormalOrder
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import PhysLean.QFT.PerturbationTheory.FieldSpecification.TimeOrder
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import PhysLean.QFT.PerturbationTheory.FieldStatistics.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldStatistics.ExchangeSign
|
||||
import PhysLean.QFT.PerturbationTheory.FieldStatistics.OfFinset
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSign
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSignInsert
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Card
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Erase
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.ExtractEquiv
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.InsertAndContract
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.InsertAndContractNat
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Involutions
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.IsFull
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Join
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.Join
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Singleton
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.StaticContract
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.SubContraction
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.TimeCond
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.TimeContract
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Uncontracted
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.UncontractedList
|
||||
import PhysLean.QuantumMechanics.OneDimension.HarmonicOscillator.Basic
|
||||
import PhysLean.QuantumMechanics.OneDimension.HarmonicOscillator.Completeness
|
||||
import PhysLean.QuantumMechanics.OneDimension.HarmonicOscillator.Eigenfunction
|
||||
import PhysLean.QuantumMechanics.OneDimension.HarmonicOscillator.TISE
|
||||
import PhysLean.QuantumMechanics.OneDimension.HilbertSpace.Basic
|
||||
import PhysLean.QuantumMechanics.OneDimension.HilbertSpace.Parity
|
||||
import PhysLean.SpaceTime.Basic
|
||||
import PhysLean.SpaceTime.CliffordAlgebra
|
||||
import PhysLean.StandardModel.Basic
|
||||
import PhysLean.StandardModel.HiggsBoson.Basic
|
||||
import PhysLean.StandardModel.HiggsBoson.GaugeAction
|
||||
import PhysLean.StandardModel.HiggsBoson.PointwiseInnerProd
|
||||
import PhysLean.StandardModel.HiggsBoson.Potential
|
||||
import PhysLean.StandardModel.Representations
|
||||
import PhysLean.Tensors.OverColor.Basic
|
||||
import PhysLean.Tensors.OverColor.Discrete
|
||||
import PhysLean.Tensors.OverColor.Functors
|
||||
import PhysLean.Tensors.OverColor.Iso
|
||||
import PhysLean.Tensors.OverColor.Lift
|
||||
import PhysLean.Tensors.TensorSpecies.Basic
|
||||
import PhysLean.Tensors.TensorSpecies.Basis
|
||||
import PhysLean.Tensors.TensorSpecies.Contractions.Basic
|
||||
import PhysLean.Tensors.TensorSpecies.Contractions.Categorical
|
||||
import PhysLean.Tensors.TensorSpecies.Contractions.ContrMap
|
||||
import PhysLean.Tensors.TensorSpecies.DualRepIso
|
||||
import PhysLean.Tensors.TensorSpecies.MetricTensor
|
||||
import PhysLean.Tensors.TensorSpecies.OfInt
|
||||
import PhysLean.Tensors.TensorSpecies.Pure
|
||||
import PhysLean.Tensors.TensorSpecies.UnitTensor
|
||||
import PhysLean.Tensors.Tree.Basic
|
||||
import PhysLean.Tensors.Tree.Dot
|
||||
import PhysLean.Tensors.Tree.Elab
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.Assoc
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.Basic
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.Congr
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.ContrContr
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.ContrSwap
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.PermContr
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.PermProd
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.ProdAssoc
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.ProdComm
|
||||
import PhysLean.Tensors.Tree.NodeIdentities.ProdContr
|
||||
import PhysLean.Relativity.SpaceTime.Basic
|
||||
import PhysLean.Relativity.SpaceTime.CliffordAlgebra
|
||||
import PhysLean.Particles.StandardModel.Basic
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.Basic
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.GaugeAction
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.PointwiseInnerProd
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.Potential
|
||||
import PhysLean.Particles.StandardModel.Representations
|
||||
import PhysLean.Relativity.Tensors.OverColor.Basic
|
||||
import PhysLean.Relativity.Tensors.OverColor.Discrete
|
||||
import PhysLean.Relativity.Tensors.OverColor.Functors
|
||||
import PhysLean.Relativity.Tensors.OverColor.Iso
|
||||
import PhysLean.Relativity.Tensors.OverColor.Lift
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Basic
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Basis
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Contractions.Basic
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Contractions.Categorical
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Contractions.ContrMap
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.DualRepIso
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.MetricTensor
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.OfInt
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.Pure
|
||||
import PhysLean.Relativity.Tensors.TensorSpecies.UnitTensor
|
||||
import PhysLean.Relativity.Tensors.Tree.Basic
|
||||
import PhysLean.Relativity.Tensors.Tree.Dot
|
||||
import PhysLean.Relativity.Tensors.Tree.Elab
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.Assoc
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.Basic
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.Congr
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.ContrContr
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.ContrSwap
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.PermContr
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.PermProd
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.ProdAssoc
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.ProdComm
|
||||
import PhysLean.Relativity.Tensors.Tree.NodeIdentities.ProdContr
|
||||
|
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.Basic
|
||||
import PhysLean.Particles.StandardModel.Basic
|
||||
/-!
|
||||
|
||||
# The Georgi-Glashow Model
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.Basic
|
||||
import PhysLean.Particles.StandardModel.Basic
|
||||
/-!
|
||||
|
||||
# The Pati-Salam Model
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.BeyondTheStandardModel.PatiSalam.Basic
|
||||
import PhysLean.BeyondTheStandardModel.GeorgiGlashow.Basic
|
||||
import PhysLean.Particles.BeyondTheStandardModel.PatiSalam.Basic
|
||||
import PhysLean.Particles.BeyondTheStandardModel.GeorgiGlashow.Basic
|
||||
/-!
|
||||
|
||||
# The Spin(10) Model
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.HiggsBoson.Potential
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.Potential
|
||||
import PhysLean.Meta.TODO.Basic
|
||||
/-!
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.BeyondTheStandardModel.TwoHDM.Basic
|
||||
import PhysLean.StandardModel.HiggsBoson.GaugeAction
|
||||
import PhysLean.Particles.BeyondTheStandardModel.TwoHDM.Basic
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.GaugeAction
|
||||
import Mathlib.LinearAlgebra.Matrix.PosDef
|
||||
import Mathlib.Analysis.CStarAlgebra.Matrix
|
||||
/-!
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Basic
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Basic
|
||||
import Mathlib.Analysis.Complex.Basic
|
||||
/-!
|
||||
# Invariants of the CKM Matrix
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Relations
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Relations
|
||||
/-!
|
||||
# Phase freedom of the CKM Matrix
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Rows
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Rows
|
||||
/-!
|
||||
# Relations for the CKM Matrix
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Basic
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Basic
|
||||
import Mathlib.Analysis.SpecialFunctions.Complex.Arg
|
||||
import Mathlib.LinearAlgebra.CrossProduct
|
||||
import Mathlib.LinearAlgebra.FiniteDimensional
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Rows
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.Invariants
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Rows
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.Invariants
|
||||
/-!
|
||||
# Standard parameterization for the CKM Matrix
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.PhaseFreedom
|
||||
import PhysLean.FlavorPhysics.CKMMatrix.StandardParameterization.Basic
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.PhaseFreedom
|
||||
import PhysLean.Particles.FlavorPhysics.CKMMatrix.StandardParameterization.Basic
|
||||
/-!
|
||||
# Standard parameters for the CKM Matrix
|
||||
|
|
@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
|
|||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import Mathlib.Geometry.Manifold.Instances.Real
|
||||
import PhysLean.SpaceTime.Basic
|
||||
import PhysLean.Relativity.SpaceTime.Basic
|
||||
import PhysLean.Meta.Informal.Basic
|
||||
/-!
|
||||
# The Standard Model
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.SpaceTime.Basic
|
||||
import PhysLean.Relativity.SpaceTime.Basic
|
||||
import Mathlib.Tactic.Polyrith
|
||||
import Mathlib.Geometry.Manifold.VectorBundle.SmoothSection
|
||||
import Mathlib.Geometry.Manifold.Instances.Real
|
|
@ -3,10 +3,10 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.HiggsBoson.Basic
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.Basic
|
||||
import Mathlib.RepresentationTheory.Basic
|
||||
import PhysLean.StandardModel.Basic
|
||||
import PhysLean.StandardModel.Representations
|
||||
import PhysLean.Particles.StandardModel.Basic
|
||||
import PhysLean.Particles.StandardModel.Representations
|
||||
import Mathlib.Analysis.InnerProductSpace.Adjoint
|
||||
/-!
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.HiggsBoson.Basic
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.Basic
|
||||
/-!
|
||||
# The pointwise inner product
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.StandardModel.HiggsBoson.PointwiseInnerProd
|
||||
import PhysLean.Particles.StandardModel.HiggsBoson.PointwiseInnerProd
|
||||
/-!
|
||||
# The potential of the Higgs field
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.Basic
|
||||
import Mathlib.RepresentationTheory.Basic
|
||||
/-!
|
||||
# Group actions on ACC systems.
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.Basic
|
||||
/-!
|
||||
# The definition of the solution B₃ and properties thereof
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.Basic
|
||||
/-!
|
||||
# The MSSM with 3 families and RHNs
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.Basic
|
||||
/-!
|
||||
# Hypercharge in MSSM.
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.Y3
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.B3
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.Y3
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.B3
|
||||
/-!
|
||||
# The line through B₃ and Y₃
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.LineY3B3
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.LineY3B3
|
||||
/-!
|
||||
# The type of solutions perpendicular to `Y₃` and `B₃`
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.OrthogY3B3.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.OrthogY3B3.Basic
|
||||
/-!
|
||||
# Plane Y₃ B₃ and an orthogonal third point
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.OrthogY3B3.PlaneWithY3B3
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.OrthogY3B3.PlaneWithY3B3
|
||||
/-!
|
||||
# From charges perpendicular to `Y₃` and `B₃` to solutions
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.Basic
|
||||
import Mathlib.RepresentationTheory.Basic
|
||||
/-!
|
||||
# Permutations of MSSM charges and solutions
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.MSSMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.MSSMNu.Basic
|
||||
/-!
|
||||
# The definition of the solution Y₃ and properties thereof
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.Basic
|
||||
/-!
|
||||
# Pure U(1) ACC system.
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
|
||||
import Mathlib.LinearAlgebra.FreeModule.StrongRankCondition
|
||||
/-!
|
||||
# Basis of `LinSols`
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.VectorLike
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.VectorLike
|
||||
/-!
|
||||
# Charges assignments with constant abs
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.BasisLinear
|
||||
import PhysLean.AnomalyCancellation.PureU1.VectorLike
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.BasisLinear
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.VectorLike
|
||||
/-!
|
||||
# Basis of `LinSols` in the even case
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Even.BasisLinear
|
||||
import PhysLean.AnomalyCancellation.PureU1.LineInPlaneCond
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Even.BasisLinear
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.LineInPlaneCond
|
||||
/-!
|
||||
|
||||
# Line In Cubic Even case
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Even.LineInCubic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Even.LineInCubic
|
||||
/-!
|
||||
# Parameterization in even case
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.ConstAbs
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.ConstAbs
|
||||
import Mathlib.Tactic.FieldSimp
|
||||
/-!
|
||||
# Line in plane condition
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
|
||||
/-!
|
||||
# The Pure U(1) case with 1 fermion
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
|
||||
/-!
|
||||
# The Pure U(1) case with 3 fermion
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
|
||||
/-!
|
||||
# The Pure U(1) case with 2 fermions
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.BasisLinear
|
||||
import PhysLean.AnomalyCancellation.PureU1.VectorLike
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.BasisLinear
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.VectorLike
|
||||
/-!
|
||||
# Basis of `LinSols` in the odd case
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.LineInPlaneCond
|
||||
import PhysLean.AnomalyCancellation.PureU1.Odd.BasisLinear
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.LineInPlaneCond
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Odd.BasisLinear
|
||||
/-!
|
||||
|
||||
# Line In Cubic Odd case
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Odd.LineInCubic
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Odd.LineInCubic
|
||||
/-!
|
||||
# Parameterization in odd case
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.AnomalyCancellation.GroupActions
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.GroupActions
|
||||
import Mathlib.Logic.Equiv.Fintype
|
||||
/-!
|
||||
# Permutations of Pure U(1) ACC
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Permutations
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Permutations
|
||||
import Mathlib.Data.Fin.Tuple.Sort
|
||||
/-!
|
||||
# Sort for Pure U(1) charges
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.PureU1.Sorts
|
||||
import PhysLean.QFT.AnomalyCancellation.PureU1.Sorts
|
||||
/-!
|
||||
# Vector like charges
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.Basic
|
||||
/-!
|
||||
# Anomaly cancellation conditions for n family SM.
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SM.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SM.Basic
|
||||
/-!
|
||||
# Family maps for the Standard Model ACCs
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SM.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SM.Basic
|
||||
/-!
|
||||
# Anomaly Cancellation in the Standard Model without Gravity
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SM.NoGrav.One.LinearParameterization
|
||||
import PhysLean.QFT.AnomalyCancellation.SM.NoGrav.One.LinearParameterization
|
||||
/-!
|
||||
# Lemmas for 1 family SM Accs
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SM.NoGrav.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SM.NoGrav.Basic
|
||||
import Mathlib.NumberTheory.FLT.Three
|
||||
/-!
|
||||
# Parameterizations for solutions to the linear ACCs for 1 family
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SM.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SM.Basic
|
||||
import Mathlib.RepresentationTheory.Basic
|
||||
/-!
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.Basic
|
||||
/-!
|
||||
# Anomaly cancellation conditions for n family SM.
|
||||
-/
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Basic
|
||||
/-!
|
||||
# Family maps for the Standard Model for RHN ACCs
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.AnomalyCancellation.GroupActions
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.QFT.AnomalyCancellation.GroupActions
|
||||
/-!
|
||||
# ACC system for SM with RHN and no gravitational anomaly.
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.AnomalyCancellation.GroupActions
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.QFT.AnomalyCancellation.GroupActions
|
||||
/-!
|
||||
# ACC system for SM with RHN (without hypercharge).
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Ordinary.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Ordinary.Basic
|
||||
/-!
|
||||
# Dimension 7 plane
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Ordinary.Basic
|
||||
import PhysLean.AnomalyCancellation.SMNu.FamilyMaps
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Ordinary.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.FamilyMaps
|
||||
/-!
|
||||
# Family Maps for SM with RHN (no hypercharge)
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Basic
|
||||
import Mathlib.RepresentationTheory.Basic
|
||||
/-!
|
||||
# Permutations of SM charges with RHN.
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
|
||||
/-!
|
||||
# B Minus L in SM with RHN.
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.AnomalyCancellation.GroupActions
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.Permutations
|
||||
import PhysLean.QFT.AnomalyCancellation.GroupActions
|
||||
/-!
|
||||
# ACC system for SM with RHN
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.PlaneNonSols
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.PlaneNonSols
|
||||
/-!
|
||||
# Bound on plane dimension
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
import PhysLean.AnomalyCancellation.SMNu.FamilyMaps
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.FamilyMaps
|
||||
/-!
|
||||
# Family Maps for SM with RHN
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.FamilyMaps
|
||||
/-!
|
||||
# Hypercharge in SM with RHN.
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
/-!
|
||||
# Plane of non-solutions
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.Basic
|
||||
import Mathlib.Tactic.FieldSimp
|
||||
/-!
|
||||
# Properties of Quad Sols for SM with RHN
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.AnomalyCancellation.SMNu.PlusU1.BMinusL
|
||||
import PhysLean.QFT.AnomalyCancellation.SMNu.PlusU1.BMinusL
|
||||
import Mathlib.Tactic.FieldSimp
|
||||
/-!
|
||||
# Solutions from quad solutions
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
/-!
|
||||
# Feynman diagrams in a complex scalar field theory
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
/-!
|
||||
# Feynman diagrams in Phi^4 theory
|
||||
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FeynmanDiagrams.Basic
|
||||
import Mathlib.Data.Real.Basic
|
||||
import Mathlib.Algebra.DirectSum.Module
|
||||
import Mathlib.LinearAlgebra.SesquilinearForm
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import Mathlib.Algebra.RingQuot
|
||||
import Mathlib.RingTheory.TwoSidedIdeal.Operations
|
||||
/-!
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
/-!
|
||||
|
||||
# Grading on the field operation algebra
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.NormalOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.SuperCommute
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.NormalOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.SuperCommute
|
||||
/-!
|
||||
|
||||
# Normal Ordering on Field operator algebra
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.Basic
|
||||
/-!
|
||||
|
||||
# Basic properties of normal ordering
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
|
||||
import PhysLean.PerturbationTheory.WickContraction.InsertAndContract
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.InsertAndContract
|
||||
/-!
|
||||
|
||||
# Normal ordering with relation to Wick contractions
|
|
@ -3,10 +3,10 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.PerturbationTheory.WickContraction.StaticContract
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.StaticContract
|
||||
/-!
|
||||
|
||||
# Static Wick's terms
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.StaticWickTerm
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.StaticWickTerm
|
||||
/-!
|
||||
|
||||
# Static Wick's theorem
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
/-!
|
||||
|
||||
# SuperCommute on Field operator algebra
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.TimeOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.Lemmas
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.TimeOrder
|
||||
/-!
|
||||
|
||||
# Time contractions
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.SuperCommute
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.SuperCommute
|
||||
/-!
|
||||
|
||||
# Time Ordering on Field operator algebra
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.Basic
|
||||
/-!
|
||||
|
||||
# Universality properties of FieldOpAlgebra
|
|
@ -3,11 +3,11 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.Basic
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.PerturbationTheory.WickContraction.TimeContract
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.TimeContract
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
/-!
|
||||
|
||||
# Wick term
|
|
@ -3,11 +3,11 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.WickContraction.TimeContract
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.WickTerm
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.TimeContract
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertNone
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.InsertSome
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.NormalOrder.WickContractions
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.WickTerm
|
||||
import PhysLean.Meta.Remark.Basic
|
||||
/-!
|
||||
|
|
@ -3,10 +3,10 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.StaticWickTheorem
|
||||
import PhysLean.PerturbationTheory.FieldOpAlgebra.WicksTheorem
|
||||
import PhysLean.PerturbationTheory.WickContraction.Sign.Join
|
||||
import PhysLean.PerturbationTheory.WickContraction.TimeCond
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.StaticWickTheorem
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpAlgebra.WicksTheorem
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.Sign.Join
|
||||
import PhysLean.QFT.PerturbationTheory.WickContraction.TimeCond
|
||||
/-!
|
||||
|
||||
# Wick's theorem for normal ordered lists
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.CrAnSection
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnSection
|
||||
/-!
|
||||
|
||||
# Creation and annihilation free-algebra
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import Mathlib.RingTheory.GradedAlgebra.Basic
|
||||
/-!
|
||||
|
|
@ -3,9 +3,9 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.TimeOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import PhysLean.PerturbationTheory.Koszul.KoszulSign
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.TimeOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSign
|
||||
/-!
|
||||
|
||||
# Norm-time Ordering in the FieldOpFreeAlgebra
|
|
@ -3,15 +3,15 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.NormalOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import PhysLean.PerturbationTheory.Koszul.KoszulSign
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.NormalOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSign
|
||||
/-!
|
||||
|
||||
# Normal Ordering in the FieldOpFreeAlgebra
|
||||
|
||||
In the module
|
||||
`PhysLean.PerturbationTheory.FieldSpecification.NormalOrder`
|
||||
`PhysLean.QFT.PerturbationTheory.FieldSpecification.NormalOrder`
|
||||
we defined the normal ordering of a list of `CrAnFieldOp`.
|
||||
In this module we extend the normal ordering to a linear map on `FieldOpFreeAlgebra`.
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.Grading
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.Grading
|
||||
/-!
|
||||
|
||||
# Super Commute
|
|
@ -3,9 +3,9 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.TimeOrder
|
||||
import PhysLean.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import PhysLean.PerturbationTheory.Koszul.KoszulSign
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.TimeOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSign
|
||||
/-!
|
||||
|
||||
# Time Ordering in the FieldOpFreeAlgebra
|
|
@ -3,10 +3,10 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.Lorentz.RealVector.Basic
|
||||
import PhysLean.PerturbationTheory.FieldStatistics.ExchangeSign
|
||||
import PhysLean.SpaceTime.Basic
|
||||
import PhysLean.PerturbationTheory.FieldStatistics.OfFinset
|
||||
import PhysLean.Relativity.Lorentz.RealVector.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldStatistics.ExchangeSign
|
||||
import PhysLean.Relativity.SpaceTime.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldStatistics.OfFinset
|
||||
import PhysLean.Meta.Remark.Basic
|
||||
/-!
|
||||
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.Basic
|
||||
import PhysLean.PerturbationTheory.CreateAnnihilate
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.CreateAnnihilate
|
||||
/-!
|
||||
|
||||
# Creation and annihilation states
|
||||
|
@ -12,7 +12,7 @@ import PhysLean.PerturbationTheory.CreateAnnihilate
|
|||
Called `CrAnFieldOp` for short here.
|
||||
|
||||
Given a field specification, in addition to defining states
|
||||
(see: `PhysLean.PerturbationTheory.FieldSpecification.Basic`),
|
||||
(see: `PhysLean.QFT.PerturbationTheory.FieldSpecification.Basic`),
|
||||
we can also define creation and annihilation states.
|
||||
These are similar to states but come with an additional specification of whether they correspond to
|
||||
creation or annihilation operators.
|
|
@ -3,15 +3,15 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
/-!
|
||||
|
||||
# Creation and annihilation sections
|
||||
|
||||
In the module
|
||||
`PhysLean.PerturbationTheory.FieldSpecification.Basic`
|
||||
`PhysLean.QFT.PerturbationTheory.FieldSpecification.Basic`
|
||||
we defined states for a field specification, and in the module
|
||||
`PhysLean.PerturbationTheory.FieldStatistics.CrAnFieldOp`
|
||||
`PhysLean.QFT.PerturbationTheory.FieldStatistics.CrAnFieldOp`
|
||||
we defined a refinement of states called `CrAnFieldOp` which distinquishes between the
|
||||
creation and annihilation components of states.
|
||||
There exists, in particular, a map from `CrAnFieldOp` to `FieldOp` called `crAnFieldOpToFieldOp`.
|
|
@ -3,7 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
|
||||
/-!
|
||||
|
||||
# Filters of lists of CrAnFieldOp
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.Filters
|
||||
import PhysLean.PerturbationTheory.Koszul.KoszulSign
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.Filters
|
||||
import PhysLean.QFT.PerturbationTheory.Koszul.KoszulSign
|
||||
/-!
|
||||
|
||||
# Normal Ordering of states
|
|
@ -3,8 +3,8 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.CrAnSection
|
||||
import PhysLean.PerturbationTheory.FieldSpecification.NormalOrder
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.CrAnSection
|
||||
import PhysLean.QFT.PerturbationTheory.FieldSpecification.NormalOrder
|
||||
/-!
|
||||
|
||||
# Time ordering of states
|
|
@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
|||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Joseph Tooby-Smith
|
||||
-/
|
||||
import PhysLean.PerturbationTheory.FieldStatistics.Basic
|
||||
import PhysLean.QFT.PerturbationTheory.FieldStatistics.Basic
|
||||
/-!
|
||||
|
||||
# Exchange sign for field statistics
|
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