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feat: Wick contraction docs

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jstoobysmith 2025-01-23 14:18:02 +00:00
parent c9deac6cfe
commit 7fbf228468
6 changed files with 154 additions and 65 deletions
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13
HepLean/PerturbationTheory/FieldSpecification/Examples.lean
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@ -13,18 +13,23 @@ import HepLean.PerturbationTheory.FieldSpecification.Basic
namespace FieldSpecification
variable (𝓕 : FieldSpecification)
/-- The Field specification corresponding to a single bosonic field. -/
/-- The Field specification corresponding to a single bosonic field.
The type of fields is the unit type, and the statistic of the unique element of the unit
type is bosonic. -/
def singleBoson : FieldSpecification where
Fields := Unit
statistics := fun _ => FieldStatistic.bosonic
/-- The Field specification corresponding to a single fermionic field. -/
/-- The Field specification corresponding to a single fermionic field.
The type of fields is the unit type, and the statistic of the unique element of the unit
type is fermionic. -/
def singleFermion : FieldSpecification where
Fields := Unit
statistics := fun _ => FieldStatistic.fermionic
/-- The Field specification corresponding to a two bosonic field and
two fermionic fields. -/
/-- The Field specification corresponding to two bosonic fields and two fermionic fields.
The type of fields is `Fin 2 ⊕ Fin 2`, and the statistic of the two `.inl` (left) elements
is bosonic and the statistic of the two `.inr` (right) elements is fermionic. -/
def doubleBosonDoubleFermion : FieldSpecification where
Fields := Fin 2 ⊕ Fin 2
statistics := fun b =>