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• W2520296952 abstract "We derive a novel formula for the derivative of operator product expansion (OPE) coefficients with respect to a coupling constant. The formula involves just the OPE coefficients themselves but no further input, and is in this sense self-consistent. Furthermore,unlikeotherformalidentitiesofthisgeneralnatureinquantumfieldtheory (suchastheformalexpressionfortheLagrangianperturbationofacorrelationfunction), our formula requires no further UV-renormalization, i.e., it is completely well-defined fromthestart.ThisfeatureisaresultofacancelationofUV-andIR-divergencesbetween various terms in our identity. Our proof, and an analysis of the features of the identity, is givenfortheexampleofmassive,Euclidean ϕ 4 theoryin4dimensionalEuclideanspace. It relies on the renormalization group flow equation method and is valid to arbitrary, but finite orders in perturbation theory. The final formula, however, makes neither explicit referencetotherenormalizationgroupflow,nortoperturbationtheory,andweconjecture that it also holds non-perturbatively. Our identity can be applied constructively because it gives a novel recursive algorithm for the computation of OPE coefficients to arbitrary (finite) perturbation order in terms of the zeroth order coefficients corresponding to the underlying free field theory, which in turn are trivial to obtain. We briefly illustrate the relationof thismethod tomorestandard methods forcomputing theOPEinsomesimple examples." @default.
• W2520296952 created "2016-09-23" @default.
• W2520296952 creator A5027288721 @default.
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• W2520296952 date "2015-01-01" @default.
• W2520296952 modified "2023-09-27" @default.
• W2520296952 title "Recursive Construction of Operator Product" @default.
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• W2520296952 hasPublicationYear "2015" @default.
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