Thermodynamical quantities for overlap fermions with chemical potential

TL;DR

This paper investigates the thermodynamic properties of overlap fermions with chemical potential, confirming their correct continuum behavior through analysis of energy and number densities at finite temperature and density.

Contribution

It provides a detailed analysis of overlap fermions with chemical potential, validating their continuum limit behavior using free fermion models.

Findings

Overlap fermions reproduce correct continuum thermodynamics.

Energy and number densities match continuum expectations.

The proposed analytic continuation approach is effective.

Abstract

Recently a formulation of overlap fermions at finite density based on an analytic continuation of the sign function was proposed. We study this proposal by analyzing the energy and number densities for free fermions as a function of the chemical potential and the temperature. Our results show that overlap fermions with chemical potential give rise to the correct continuum behavior.