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2019

$T\bar T$ deformation of correlation functions

Cardy, John

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We study the evolution of correlation functions of local fields in a two-dimensional quantum field theory under the $\lambda T\bar T$ 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.

$T\bar T$ deformation of correlation functions · Around

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R. Conti, S. Negro and R. Tateo,
Original
1904
Earlier work this paper cites.
J. Cardy and E. Rabinovici,
1982
Earlier work this paper cites.
J. Cardy,
1982
Earlier work this paper cites.
C. Teitelboim,
1983
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R. Jackiw,
1985
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