The determinant representation for quantum correlation functions of the sinh-Gordon model

TL;DR

This paper derives a determinant representation for quantum correlation functions in the sinh-Gordon model, providing a compact formula that could facilitate calculations and connect to matrix model techniques.

Contribution

It introduces a novel determinant expression for correlation functions in the sinh-Gordon model, based on summing form factors into a closed form.

Findings

Derived a determinant formula for correlation functions

Connected the representation to matrix model techniques

Provided a new computational tool for quantum integrable models

Abstract

We consider the quantum sinh-Gordon model in this paper. Using known formulae for form factors we sum up all their contributions and obtain a closed expression for a correlation function. This expression is a determinant of an integral operator. Similar determinant representations were proven to be useful not only in the theory of correlation functions, but also in the matrix models.