Source-pinned research

Research proof index

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Project-declaredLean 4.32.0

Time Order have Eq Time split

FieldSpecification.WickAlgebra.timeOrder_haveEqTime_split

Plain-language statement

For a list φs of 𝓕.FieldOp, then 𝓣(φs) is equal to the sum of - ∑ φsΛ, φsΛ.wickTerm where the sum is over all Wick contraction φsΛ which have no contractions of equal time. - ∑ φsΛ, φsΛ.sign • φsΛ.timeContract * (∑ φssucΛ, φssucΛ.wickTerm), where the first sum is over all Wick contraction φsΛ which only have equal time contractions and the...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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Project-declaredLean 4.32.0

Time Order of Field Op List eq Time Only

FieldSpecification.WickAlgebra.timeOrder_ofFieldOpList_eqTimeOnly

Plain-language statement

For a list φs of 𝓕.FieldOp, then 𝓣(φs) = ∑ φsΛ, φsΛ.sign • φsΛ.timeContract * 𝓣(𝓝([φsΛ]ᵘᶜ)) where the sum is over all Wick contraction φsΛ which only have equal time contractions. This result follows from - static_wick_theorem to rewrite 𝓣(φs) on the left hand side as a sum of 𝓣(φsΛ.staticWickTerm). - `EqTimeOnly.timeOrder_staticContra...

physicsquantum field theoryrelativity

Source project: Physlib

Person-level attribution pending.

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