Duality between the massive sine-Gordon and the massive Schwinger models at finite temperature

TL;DR

This paper demonstrates the equivalence of the massive sine-Gordon and massive Schwinger models at finite temperature using path-integral methods, confirming that their parameter relations hold beyond zero temperature.

Contribution

It extends the known duality between these models from zero temperature to finite temperature within a path-integral framework.

Findings

Models are equivalent at finite temperature

Parameter relations remain valid at non-zero temperature

Duality established using path-integral approach

Abstract

The massive Schwinger and the massive sine-Gordon models are proved to be equivalent at finite temperature, using the path-integral framework. The well known relations among the parameters of these models to establish the duality at $T=0$, also remain valid at non zero temperature.