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Overlap quark propagator in coulomb gauge QCD and the interrelation of confinement and chiral symmetry breaking

2015/02/28 by M. Pak, Mario Schröck, M. Schröck · 13 citations
Physics and Astronomy · #Chiral anomaly #Chiral symmetry #Chiral symmetry breaking #Color confinement #Coulomb #Gauge (firearms) #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Spontaneous symmetry breaking #Symmetry breaking #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.91.074515

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(7) (American Physical Society) · 12 pages, 18 figures. Small changes, added some references, version accepted at PRD

arxiv created 2015/04/06 · openalex publication_date 2015/04/23 · arxiv updated 2015/04/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The chirally symmetric overlap quark propagator is explored in Coulomb gauge for the first time. This gauge is especially well suited for studying the interrelation between confinement and chiral symmetry breaking, since confinement can be attributed to the infrared divergence of the vector dressing function of the inverse quark propagator. Using quenched gauge field configurations on a 204 lattice, the dressing functions of the quark propagator as well as the dynamical quark mass function are evaluated, also in the chiral limit. Chiral symmetry is artificially restored by removing the low-mode contribution from the quark propagator. After removing enough low-lying modes, the dynamical quark mass function approaches the current quark mass in the whole momentum region and goes to zero in the chiral limit. However, the vector dressing function is unaffected by the low-mode removal. It follows that the quark energy dispersion is still infrared divergent and quarks in such a chiral symmetry restored phase are still confined within a hadron.

Citations