DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

fix: Imports to make computable

Browse source
This commit is contained in:
jstoobysmith 2024-06-19 07:45:19 -04:00
parent fe50df3fc9
commit 277436c347
2 changed files with 17 additions and 4 deletions
Download patch file Download diff file Expand all files Collapse all files

2
HepLean/FeynmanDiagrams/Basic.lean
View file

@ -737,7 +737,7 @@ instance [IsFiniteDiagram F] :
instance [IsFiniteDiagram F] : Decidable F.toSimpleGraph.Connected :=
decidable_of_iff _ (SimpleGraph.connected_iff F.toSimpleGraph).symm
/-- We say a Feynman diagram is connected if its simple graph is connected. -/
/-- A Feynman diagram is connected if its simple graph is connected. -/
def Connected : Prop := F.toSimpleGraph.Connected
instance [IsFiniteDiagram F] : Decidable (Connected F) :=

19
HepLean/FeynmanDiagrams/Momentum.lean
View file

@ -4,7 +4,7 @@ Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
import HepLean.FeynmanDiagrams.Basic
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Data.Real.Basic
import Mathlib.Algebra.Category.ModuleCat.Basic
/-!
# Momentum in Feynman diagrams
@ -12,6 +12,9 @@ import Mathlib.Algebra.Category.ModuleCat.Basic
The aim of this file is to associate with each half-edge of a Feynman diagram a momentum,
and constrain the momentums based conservation at each vertex and edge.
The number of loops of a Feynman diagram is related to the dimension of the resulting
vector space.
-/
namespace FeynmanDiagram
@ -28,7 +31,8 @@ def SingleMomentumSpace : Type := Fin d → ℝ
instance : AddCommGroup (SingleMomentumSpace d) := Pi.addCommGroup
noncomputable instance : Module ℝ (SingleMomentumSpace d) := Pi.module _ _ _
instance : Module ℝ (SingleMomentumSpace d) := Pi.module _ _ _
/-- The type which asociates to each half-edge a `d`-dimensional vector.
This is to be interpreted as the momentum associated to that half-edge flowing from the
@ -37,7 +41,7 @@ def FullMomentumSpace : Type := F.𝓱𝓔 → Fin d → ℝ
instance : AddCommGroup (F.FullMomentumSpace d) := Pi.addCommGroup
noncomputable instance : Module ℝ (F.FullMomentumSpace d) := Pi.module _ _ _
instance : Module ℝ (F.FullMomentumSpace d) := Pi.module _ _ _
/-- The linear map taking a half-edge to its momentum.
(defined as flowing from the `edge` to the vertex.) -/
@ -69,5 +73,14 @@ noncomputable def funcFullMomentumSpace : FeynmanDiagram P ⥤ (ModuleCat ℝ)
/-!
## Edge constraints
There is a linear map from `F.FullMomentumSpace` to `F.EdgeMomentumSpace`, induced
by the constraints at each edge.
We impose the constraint that we live in the kernal of this linear map.
A similar result is true for the vertex constraints.
-/
end FeynmanDiagram