Overlap Quark Propagator in Coulomb Gauge QCD

TL;DR

This paper investigates the overlap quark propagator in Coulomb gauge QCD, analyzing how confinement and chiral symmetry breaking relate through dressing functions and the impact of removing low-lying Dirac modes.

Contribution

It provides the first detailed study of the overlap quark propagator in Coulomb gauge, examining the effects of mode removal on chiral symmetry and confinement indicators.

Findings

Infrared divergent Lorentz-vector dressing function indicates confinement.

Chiral symmetry is artificially restored by removing low-lying Dirac modes.

Dynamical quark mass and dressing functions are quantitatively analyzed.

Abstract

The chirally symmetric Overlap quark propagator is explored in Coulomb gauge. This gauge is well suited for studying the relation between confinement and chiral symmetry breaking, since confinement can be attributed to the infrared divergent Lorentz-vector dressing function. Using quenched gauge field configurations on a $20^4$ lattice, the quark propagator dressing functions are evaluated, the dynamical quark mass is extracted and the chiral limit of these quantities is discussed. By removing the low-lying modes of the Dirac operator, chiral symmetry is artificially restored. Its effect on the dressing functions is discussed.