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feat: Static Wick theorem

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jstoobysmith 2025-01-30 12:45:00 +00:00
parent c421746f4b
commit 9372410fbc
7 changed files with 240 additions and 0 deletions
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5
HepLean/PerturbationTheory/WickContraction/Sign.lean
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@ -409,6 +409,11 @@ lemma signInsertNone_eq_prod_prod (φ : 𝓕.States) (φs : List 𝓕.States)
erw [hG a]
rfl
lemma sign_insert_none_zero (φ : 𝓕.States) (φs : List 𝓕.States) (φsΛ : WickContraction φs.length) :
(φsΛ ↩Λ φ 0 none).sign = φsΛ.sign := by
rw [sign_insert_none]
simp [signInsertNone]
lemma signInsertNone_eq_prod_getDual?_Some (φ : 𝓕.States) (φs : List 𝓕.States)
(φsΛ : WickContraction φs.length) (i : Fin φs.length.succ) (hG : GradingCompliant φs φsΛ) :
φsΛ.signInsertNone φ φs i = ∏ (x : Fin φs.length),