Abstract <p> We consider the effect of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2607_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(T \kern0.9pt\overline{\vphantom{T}\kern6.0pt}\kern-6.9pt T \)</EquationSource> </InlineEquation>-deformations in conformal field theories within the perturbation theory. A dimensional regularization scheme is used for a perturbative calculation of the contribution of the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2607_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(T \kern0.9pt\overline{\vphantom{T}\kern6.0pt}\kern-6.9pt T \)</EquationSource> </InlineEquation>-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. </p>

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

  • D. D. Menskoy

摘要

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.