Finite Temperature Correlation Functions in Integrable QFT

TL;DR

This paper develops a method to compute finite temperature correlation functions in integrable quantum field theories using temperature-independent form factors and thermodynamic Bethe ansatz, providing explicit formulas for one and two-point functions.

Contribution

It introduces a formulation that expresses finite temperature correlation functions solely in terms of known form factors and thermodynamic filling fractions, simplifying previous approaches.

Findings

Explicit formulas for one-point functions at finite temperature.

Explicit formulas for two-point functions at finite temperature.

Demonstrates the use of thermodynamic Bethe ansatz in correlation function calculations.

Abstract

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the thermodynamic Bethe ansatz. Explicit expressions are given for the one and two-point functions.