Finite temperature properties of the Dirac operator with bag boundary conditions

TL;DR

This paper investigates the finite temperature behavior of Dirac fields with bag boundary conditions in one dimension, focusing on free energy and fermion number, including spectral asymmetry effects and arbitrary chemical potentials.

Contribution

It provides a detailed analysis of the spectral asymmetry contribution to the Dirac operator's determinant at finite temperature with boundary conditions.

Findings

Finite temperature free energy and fermion number are computed for various chemical potentials.

Spectral asymmetry significantly influences the thermodynamic properties.

Results are applicable to one-dimensional fermionic systems with boundary effects.

Abstract

We study the finite temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under local boundary conditions compatible with the presence of a spectral asymmetry. We discuss in detail the contribution of this part of the spectrum to the determinant. We evaluate the finite temperature properties of the theory for arbitrary values of the chemical potential.