On correlators in \(T\overline{T}\)-deformed conformal field theories

Abstract

We consider the effect of \(T \kern0.9pt\overline{\vphantom{T}\kern6.0pt}\kern-6.9pt T \)-deformations in conformal field theories within the perturbation theory. A dimensional regularization scheme is used for a perturbative calculation of the contribution of the \(T \kern0.9pt\overline{\vphantom{T}\kern6.0pt}\kern-6.9pt T \)-deformation to the correlation functions of primary fields of conformal field theory. Renormalization of fields in the case of a two-point correlation function is presented.