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Docs: Documentation related to Wick contraction (#287)

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* refactor: Fix field struct defn.

* rename: FieldStruct to FieldSpecification

* feat: Add examples of field specifications

* docs: Slight improvement of module docs

* refactor: Rename CreateAnnihilate

* docs: Algebras

* Update CrAnStates.lean
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Joseph Tooby-Smith 2025-01-21 10:23:05 +00:00 • committed by GitHub
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HepLean/PerturbationTheory/Algebras/StateAlgebra/Basic.lean
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@ -3,13 +3,19 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.PerturbationTheory.FieldSpecification.CreateAnnihilate
import HepLean.PerturbationTheory.FieldSpecification.CrAnStates
/-!
# State algebra
We define the state algebra of a field structure to be the free algebra
generated by the states.
From the states associated with a field specification we can form a free algebra
generated by these states. We call this the state algebra, or the state free-algebra.
The state free-algebra has minimal assumptions, yet can be used to concretely define time-ordering.
In
`HepLean.PerturbationTheory.Algebras.CrAnAlgebra.Basic`
we defined a related free-algebra generated by creation and annihilation states.
-/