32 lines
860 B
Text
32 lines
860 B
Text
/-
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Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license.
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Authors: Joseph Tooby-Smith
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-/
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import Mathlib.Data.Complex.Exponential
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import Mathlib.Geometry.Manifold.Instances.Real
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import Mathlib.LinearAlgebra.Matrix.ToLin
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/-!
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# The Standard Model
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This file defines the basic properties of the standard model in particle physics.
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## TODO
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- Change the gauge group to a quotient of SU(3) x SU(2) x U(1) by a subgroup of ℤ₆.
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(see e.g. pg 97 of http://www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf)
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-/
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universe v u
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namespace StandardModel
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open Manifold
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open Matrix
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open Complex
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open ComplexConjugate
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/-- The global gauge group of the standard model. TODO: Generalize to quotient. -/
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abbrev gaugeGroup : Type :=
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specialUnitaryGroup (Fin 3) ℂ × specialUnitaryGroup (Fin 2) ℂ × unitary ℂ
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end StandardModel
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