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docs: More docs related to Wicks theorem

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jstoobysmith 2025-02-05 11:52:55 +00:00
parent 759f204ed5
commit 8434334bbf
10 changed files with 124 additions and 61 deletions
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22
scripts/MetaPrograms/notes.lean
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@ -117,7 +117,8 @@ def perturbationTheory : Note where
title := "Proof of Wick's theorem"
curators := ["Joseph Tooby-Smith"]
parts := [
.warning "This note is a work in progress and is not finished. Use with caution.",
.warning "This note is a work in progress and is not finished. Use with caution.
(5th Feb 2025)",
.h1 "Introduction",
.name `FieldSpecification.wicks_theorem_context,
.p "In this note we walk through the important parts of the proof of Wick's theorem
@ -167,21 +168,34 @@ def perturbationTheory : Note where
.h2 "Definition",
.name `WickContraction,
.name `WickContraction.GradingCompliant,
.h2 "Cardinality",
.h2 "Aside: Cardinality",
.name `WickContraction.card_eq_cardFun,
.h2 "Constructors",
.p "There are a number of ways to construct a Wick contraction from
other Wick contractions or single contractions.",
.name `WickContraction.insertAndContract,
.name `WickContraction.erase,
.name `WickContraction.join,
.h2 "Sign",
.name `WickContraction.sign,
.name `WickContraction.join_sign,
.name `WickContraction.sign_insert_none,
.name `WickContraction.sign_insert_none_zero,
.name `WickContraction.sign_insert_some_of_not_lt,
.name `WickContraction.sign_insert_some_of_lt,
.h1 "Time and static contractions",
.name `WickContraction.sign_insert_some_zero,
.h2 "Normal order",
.name `FieldSpecification.FieldOpAlgebra.normalOrder_uncontracted_none,
.name `FieldSpecification.FieldOpAlgebra.normalOrder_uncontracted_some,
.h1 "Static contractions",
.name `WickContraction.staticContract,
.name `WickContraction.staticContract_insert_some_of_lt,
.name `WickContraction.staticContract_insert_none,
.h1 "Time contractions",
.name `FieldSpecification.FieldOpAlgebra.timeContract,
.name `WickContraction.timeContract,
.name `WickContraction.timeContract_insert_none,
.name `WickContraction.timeContract_insert_some_of_not_lt,
.name `WickContraction.timeContract_insert_some_of_lt,
.h1 "Wick terms",
.name `WickContraction.wickTerm,
.name `WickContraction.wickTerm_empty_nil,