Equivalence of the sine-Gordon and massive Thirring models at finite temperature

TL;DR

This paper extends Coleman's zero-temperature equivalence proof of the sine-Gordon and massive Thirring models to finite temperature using the path-integral approach, confirming parameter identifications remain valid.

Contribution

It demonstrates the equivalence of the models at finite temperature, expanding the theoretical understanding of their relationship beyond zero temperature.

Findings

Models are equivalent at finite temperature.

Parameter identifications remain valid at T ≠ 0.

Extends Coleman's proof to finite temperature.

Abstract

Using the path-integral approach, the quantum massive Thirring and sine-Gordon models are proven to be equivalent at finite temperature. This result is an extension of Coleman's proof of the equivalence between both theories at zero temperature. The usual identifications among the parameters of these models also remain valid at $T \neq 0$.