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TT¯ deformation of correlation functions

Cardy, John

The journal of high energy physics, 2019-12, Vol.2019 (12) [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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  • Título:
    TT¯ deformation of correlation functions
  • Autor: Cardy, John
  • Assuntos: Classical and Quantum Gravitation ; Elementary Particles ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory
  • É parte de: The journal of high energy physics, 2019-12, Vol.2019 (12)
  • Descrição: A bstract We study the evolution of correlation functions of local fields in a two-dimensional quantum field theory under the λT T ¯ deformation, suitably regularized. We show that this may be viewed in terms of the evolution of each field, with a Dirac-like string being attached at each infinitesimal step. The deformation then acts as a derivation on the whole operator algebra, satisfying the Leibniz rule. We derive an explicit equation which allows for the analysis of UV divergences, which may be absorbed into a non-local field renormalization to give correlation functions which are UV finite to all orders, satisfying a (deformed) operator product expansion and a Callan-Symanzik equation. We solve this in the case of a deformed CFT, showing that the Fourier-transformed renormalized two-point functions behave as k 2∆+2 λk 2 , where ∆ is their IR conformal dimension. We discuss in detail deformed Noether currents, including the energy-momentum tensor, and show that, although they also become non-local, when suitably improved they remain finite, conserved and satisfy the expected Ward identities. Finally, we discuss how the equivalence of the T T ¯ deformation to a state-dependent coordinate transformation emerges in this picture.
  • Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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