Thermodynamics of the ideal overlap quarks on the lattice

TL;DR

This paper investigates the thermodynamics of ideal overlap quarks on the lattice, demonstrating the absence of -divergence for certain actions, analyzing the continuum limit, and confirming correct energy density behavior.

Contribution

It provides analytical and numerical analysis of overlap quark thermodynamics, clarifies divergence issues, and explores the continuum limit with different parameters.

Findings

No -divergence for specific actions with chemical potential.

The continuum limit can be achieved with coarser lattices for certain parameters.

Massive overlap fermions' energy density approaches the continuum limit.

Abstract

The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of actions with nonzero chemical potential. All such actions are shown to violate chiral invariance. While the parameter M can be shown to be irrelevant in the continuum limit, as expected, it is shown numerically that the continuum limit can be reached with relatively coarser lattices for certain ranges of M. Numerical limitations of the existing method of introduction of chemical potential are demonstrated. Finally we also show that the energy density for the massive overlap fermions has the correct continuum limit.