The Determinant Representation for a Correlation Function in Scaling Lee-Yang Model

TL;DR

This paper derives a determinant representation for a correlation function in the non-unitary scaling Lee-Yang model, linking form factors to integral operators, with implications for quantum and matrix models.

Contribution

It provides a novel determinant expression for the correlation function of the energy-momentum tensor trace in the scaling Lee-Yang model, based on form factors.

Findings

Derived a closed-form determinant expression for the correlation function.

Connected the correlation function to integral operators and matrix models.

Extended the applicability of determinant representations beyond unitary models.

Abstract

We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M(2,5). This is not a unitary model. We used known expression for form factors in order to obtain a closed expression for a correlation function of a trace of energy-momentum tensor. This expression is a determinant of an integral operator. Similar determinant representation were proven to be useful not only for quantum correlation functions but also in matrix models.