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The chirally symmetric overlap quark propagator is explored in Coulomb gaugefor the first time. This gauge is especially well suited for studying theinterrelation between confinement and chiral symmetry breaking, sinceconfinement can be attributed to the infrared divergence of the vector dressingfunction of the inverse quark propagator. Using quenched gauge fieldconfigurations on a $20^4$ lattice, the dressing functions of the quarkpropagator as well as the dynamical quark mass function are evaluated, also inthe chiral limit. Chiral symmetry is artificially restored by removing the lowmode contribution from the quark propagator. After removing enough low-lyingmodes, the dynamical quark mass function approaches the current quark mass inthe whole momentum region and goes to zero in the chiral limit. However, thevector dressing function is unaffected by the low-mode removal. It follows thatthe quark energy dispersion is still infrared divergent and quarks in such achiral symmetry restored phase are still confined within a hadron.

Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking