The composite operator T\bar{T} in sinh-Gordon and a series of massive minimal models

TL;DR

This paper characterizes the composite operator Tar{T} in two-dimensional quantum field theories, specifically in sinh-Gordon and related models, using form factor bootstrap methods to determine its matrix elements.

Contribution

It provides a detailed determination of Tar{T} matrix elements in sinh-Gordon and minimal models, extending previous understanding of this operator away from criticality.

Findings

Matrix elements of Tar{T} in sinh-Gordon model determined.

Extension of results to sine-Gordon breather sector.

Application to perturbed minimal models M_{2/(2N+3)}.

Abstract

The composite operator T\bar{T}, obtained from the components of the energy-momentum tensor, enjoys a quite general characterization in two-dimensional quantum field theory also away from criticality. We use the form factor bootstrap supplemented by asymptotic conditions to determine its matrix elements in the sinh-Gordon model. The results extend to the breather sector of the sine-Gordon model and to the minimal models M_{2/(2N+3)} perturbed by the operator phi_{1,3}.