Thermal soliton correlation functions in theories with a Z(N) symmetry

TL;DR

This paper explores the thermal correlation functions of quantum solitons in Z(N)-symmetric theories, linking them to sine-Gordon solitons and deriving explicit finite-temperature series expressions.

Contribution

It establishes a connection between Z(N) quantum solitons and sine-Gordon solitons, providing explicit series formulas for their thermal correlation functions.

Findings

Correlation functions expressed as explicit series at finite temperature

Identification of Z(N) solitons with sine-Gordon solitons in phase

Analytical methods for thermal soliton correlations

Abstract

We show that the quantum solitons occurring in theories describing a complex scalar field in (1+1)-dimensions with a Z(N) symmetry may be identified with sine-Gordon quantum solitons in the phase of this field. Then using both the Euclidean thermal Green function of the two-dimensional free massless scalar field in coordinate space and its dual, we obtain an explicit series expression for the corresponding solitonic correlation function at finite temperature.