2024-05-03 06:12:59 -04:00
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/-
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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.VectorBundle.Basic
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import Mathlib.Geometry.Manifold.VectorBundle.SmoothSection
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import Mathlib.Geometry.Manifold.Instances.Real
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import Mathlib.RepresentationTheory.Basic
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2024-05-06 11:09:37 -04:00
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/-!
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# The Standard Model
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2024-05-03 06:12:59 -04:00
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2024-05-06 11:09:37 -04:00
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This file defines the basic properties of the standard model in particle physics.
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-/
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2024-05-03 06:12:59 -04:00
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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 space-time (TODO: Change to Minkowski.) -/
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abbrev spaceTime := EuclideanSpace ℝ (Fin 4)
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2024-05-06 11:09:37 -04:00
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/-- The global gauge group of the standard model. -/
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abbrev guageGroup : Type := specialUnitaryGroup (Fin 3) ℂ ×
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specialUnitaryGroup (Fin 2) ℂ × unitary ℂ
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2024-05-03 06:12:59 -04:00
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end StandardModel
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