Finite temperature expectation values of local fields in the sinh-Gordon model

TL;DR

This paper uses Sklyanin's separation of variables and Baxter's Q-function to compute finite temperature expectation values of local fields in the sinh-Gordon model, providing explicit formulas at one-loop order.

Contribution

It introduces an explicit form of Baxter's Q-function for the ground state and applies separation of variables to calculate finite temperature expectation values.

Findings

Derived explicit Q-function for sinh-Gordon ground state

Calculated finite temperature expectation values to one-loop order

Demonstrated the effectiveness of separation of variables in this context

Abstract

Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's $Q$-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.