Gravitational coupling of QED and QCD: 3- and 4- point functions in momentum space

¹ Institute for Theoretical Physics, University of Heidelberg, Germany
² Dipartimento Matematica e Fisica “Ennio de Giorgi”, Università del Salento, Lecce, Italy

^* e-mail: maglio@thphys.uni-heidelberg.de
^** e-mail: riccardo.tommasi@unisalento.it

Published online: 17 November 2022

Abstract

Conformal symmetry has important consequences for strong interactions at short distances and provides powerful tools for practical calculations. Even if the Lagrangians of Quantum Chromodynamics (QCD) and Electrodynamics (QED) are invariant under conformal transformations, this symmetry is broken by quantum corrections. The signature of the symmetry breaking is encoded in the presence of massless poles in correlators involving stress-energy tensors. We present a general study of the correlation functions 〈TJJ〉 and 〈TTJJ〉 of conformal field theory (CFT) in the flat background limit in momentum space, following a reconstruction method for tensor correlators. Furthermore, our analysis also focuses on studying the dimensional degeneracies of the tensor structures related to these correlators.