Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses

Abstract

We study in detail the effect of the finite current quark mass on chiral symmetry breaking, in the framework of truncated Coulomb gauge QCD with a linear confining quark-antiquark potential. In the chiral limit of massless current quarks, the breaking of chiral symmetry is spontaneous. But for a finite current quark mass, some dynamical symmetry breaking continues to add to the explicit breaking caused by the quark mass. Moreover, using as order parameter the mass gap, i. e. the quark mass at vanishing moment or the quark condensate, a finite quark mass transforms the chiral symmetry breaking from a phase transition into a crossover. For the study of the QCD phase diagram it thus is relevant to determine how the current quark mass affects chiral symmetry breaking. Since the current quark masses of the six standard flavours u, d, s, c, b, t span over five orders of magnitude from 1.5 MeV to 171 GeV, we develop an accurate numerical method to study the running quark mass gap and the quark vacuum energy density from very small to very large current quark masses.

24 pages, 5 figures, 3 tables

References in corpus (6)

• Quarkyonic Chiral Spirals
• Chirally symmetric but confining dense and cold matter
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Probing the infrared quark mass from highly excited baryons
• Confinement Models at Finite Temperature and Density
• Chiral symmetry breaking in the truncated Coulomb Gauge II. Non-confining power law potentials

Cited by in corpus (6)

• Mapping chiral symmetry breaking in the excited baryon spectrum
• Quark models: What can they teach us?
• Confined but chirally and chiral spin symmetric hot matter
• Chiral-vacuum excited replicae in QCD modeling
• QCD vacuum replicas are metastable
• Chiral symmetry restoration in static-light mesons: chiral restoration theorem, the quark running mass m(k) and first chiral restoration signals in the lattice QCD spectra