On correlators in $T\bar{T}$-deformed conformal field theories

TL;DR

This paper investigates how $Tar{T}$-deformations affect correlation functions in conformal field theories using perturbation theory and dimensional regularization, providing renormalization details for two-point functions.

Contribution

It offers a perturbative analysis of $Tar{T}$-deformations on CFT correlation functions and details the renormalization process for two-point functions.

Findings

Calculated the effect of $Tar{T}$-deformation on correlation functions.

Provided renormalization scheme for two-point functions.

Enhanced understanding of $Tar{T}$-deformations in CFTs.

Abstract

This paper is our contribution to the study of $T\bar{T}$-deformations. We consider the effect of $T\bar{T}$-deformation of conformal field theories in perturbation theory. We use dimensional regularization scheme to perturbatively calculate the effect of the $T\bar{T}$-deformation on the correlation functions of the CFT's primary fields. We provide the renormalization of the fields for the case of two-point correlation function.