feat: Informal results for Momentum space

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jstoobysmith 2024-12-02 14:30:55 +00:00
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@ -3,8 +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 HepLean.FeynmanDiagrams.Basic
import HepLean.Meta.Informal
import HepLean.FeynmanDiagrams.Wick.Contract
/-!
# Wick contraction in momentum space
@ -16,5 +15,21 @@ the Feynman rules.
namespace Wick
informal_definition toMomentumTensorTree where
math :≈ "A function which takes a Wick contraction,
and corresponding momenta, and outputs the corresponding
tensor tree associated with that contraction. The rules for how this is done
is given by the `Feynman rules`.
The appropriate ring to consider here is a ring permitting the abstract notion of a
Dirac delta function. "
ref :≈ "
Some references for Feynman rules are:
- QED Feynman rules: http://hitoshi.berkeley.edu/public_html/129A/point.pdf,
- Weyl Fermions: http://scipp.ucsc.edu/~haber/susybook/feyn115.pdf."
informal_definition toMomentumTensor where
math :≈ "The tensor associated to `toMomentumTensorTree` associated with a Wick contraction,
and corresponding internal momenta, and external momenta."
deps :≈ [``toMomentumTensorTree]
end Wick