Correlation functions of descendants in the scaling Lee--Yang model

TL;DR

This paper investigates the correlation functions of the composite field T̄T in the scaling Lee-Yang model, demonstrating that form factor calculations align with conformal perturbation theory predictions.

Contribution

It provides a numerical validation of the form factors for T̄T and confirms their consistency with ultraviolet asymptotics in the Lee-Yang model.

Findings

Numerical agreement between form factor calculations and conformal predictions.

Validation of constraints on T̄T expectation values.

Confirmation of asymptotic behavior in the scaling Lee-Yang model.

Abstract

Correlation functions of the composite field $T\bar{T}$ in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \cite{DN}, we show numerically that the constraints on the $T\bar{T}$ expectation values obtained in \cite{AZ_VEVTT} and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymptotic predicted by the conformal perturbation theory.