Two-point correlation functions in perturbed minimal models

TL;DR

This paper derives a new determinant-based expression for two-point correlation functions of off-critical primary fields in perturbed minimal models, using conjectured form factors and infinite series summation techniques.

Contribution

It introduces a novel determinant formula for two-point functions in perturbed minimal models based on conjectured form factors and series summation methods.

Findings

Derived explicit determinant expressions for correlation functions.

Connected form factors of different primary fields through conjectures.

Provided a framework for summing form factor series in perturbed models.

Abstract

Two point correlation functions of the off-critical primary fields \phi_{1, 1+s} are considered in the perturbed minimal models M_{2, 2N+3} + \phi_{1,3}. They are given as infinite series of form factor contributions. The form factors of \phi_{1, 1+s} are conjectured from the known results for those of \phi_{1,2} and \phi_{1,3}. The conjectured form factors are rewritten in the form which is convenient for summing up. The final expression of the two point functions is written as a determinant of an integral operator.