The Polyakov Loop and the Eigenvalues of the Dirac Operator

TL;DR

This paper investigates the relationship between confinement and chiral symmetry in QCD by analyzing the spectral sum representation of the Polyakov loop, focusing on volume dependence, continuum limits, and initial dynamical configuration results.

Contribution

It provides a detailed analysis of the spectral sum of the Polyakov loop in quenched and dynamical QCD, exploring volume and continuum effects with new numerical results.

Findings

Polyakov loop spectral sum shows specific volume dependence.

Continuum behavior of the spectral sum is characterized.

Initial dynamical configuration results are presented.

Abstract

Aiming at the link between confinement and chiral symmetry the Polyakov loop represented as a spectral sum of eigenvalues of the Dirac operator was subject of recent studies. We analyze the volume dependence as well as the continuum behavior of this quantity for quenched QCD using staggered fermions. Furthermore, we present first results using dynamical configurations.