Path-integral fermion-boson decoupling at finite temperature

TL;DR

This paper extends the functional bosonisation method to finite temperature systems, demonstrating its application by deriving thermodynamic partition functions for the Thirring and Schwinger models.

Contribution

It introduces a finite temperature extension of the path-integral decoupling approach in bosonisation, providing a new tool for thermal quantum field theory analysis.

Findings

Derived thermodynamical partition functions for Thirring and Schwinger models

Validated the extended method through explicit examples

Enhanced the understanding of finite temperature effects in bosonisation

Abstract

We show how to extend the standard functional approach to bosonisation, based on a decoupling change of path-integral variables, to the case in which a finite temperature is considered. As examples, in order to both illustrate and check the procedure, we derive the thermodynamical partition functions for the Thirring and Schwinger models.