Non-local Thirring model at finite-temperature

TL;DR

This paper extends a non-local Thirring model to finite temperature, providing a bosonized partition function and deriving thermodynamic quantities and correlation functions as functionals of electron-electron interactions.

Contribution

It introduces a finite-temperature extension of a non-local Thirring model with a fully bosonized partition function and explicit thermodynamic formulas.

Findings

Derived closed-form expressions for free energy and specific heat.

Obtained two-point correlation functions and momentum distribution.

Provided a framework for analyzing thermodynamics of collective modes.

Abstract

We extend a recently proposed non-local and non-covariant version of the Thirring model to the finite-temperature case. We obtain a completely bosonized expression for the partition function, describing the thermodynamics of the collective modes which are the underlying excitations of this system. From this result we derive closed formulae for the free-energy, specific-heat, two-point correlation functions and momentum distribution, as functionals of electron-electron coupling potentials.