Conformal Ward Identities and the Coupling of QED and QCD to Gravity
Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento and INFN-Lecce,
Via Arnesano, 73100 Lecce,
Published online: 14 November 2018
We present a general study of 3-point functions of conformal field theory (CFT) in momentum space, following a reconstruction method for tensor correlators, based on the solution of the conformal Ward identities (CWIs), introduced in recent works. We investigate and detail the structure of the CWIs and their non-perturbative solutions, and compare them to perturbation theory, taking QED and QCD as examples. Exact solutions of CFT’s in the flat background limit in momentum space are matched by the perturbative realizations in free field theories, showing that the origin the conformal anomaly is related to effective scalar interactions, generated by the renormalization of the longitudinal components of the corresponding operators.
© The Authors, published by EDP Sciences, 2018
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