Two-Dimensional Thermofield Bosonization II: Massive Fermions

TL;DR

This paper investigates the perturbative calculation of N-point functions of massive free fermions at finite temperature using thermofield dynamics, establishing their equivalence with the sine-Gordon model and extending to the massive Thirring model.

Contribution

It demonstrates the formal equivalence between massive free fermions and the sine-Gordon thermofield model at finite temperature, extending thermofield bosonization to the massive Thirring model.

Findings

Computed N-point functions perturbatively in mass.

Established equivalence with sine-Gordon thermofield model.

Extended bosonization to include the massive Thirring model.

Abstract

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point functions are computed in the fermionic formulation and compared with the corresponding perturbative series in the interaction parameter in the bosonized thermofield formulation. Thereby we establish in thermofield dynamics the formal equivalence of the massive free fermion theory with the sine-Gordon thermofield model for a particular value of the sine-Gordon parameter. We extend the thermofield bosonization to include the massive Thirring model.