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

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.

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• On space of integrable quantum field theories
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• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• $T\overline{T}$ Deformations of nonrelativistic models