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We study in detail the effect of the finite current quark mass on chiralsymmetry breaking, in the framework of truncated Coulomb gauge QCD with alinear confining quark-antiquark potential. In the chiral limit of masslesscurrent quarks, the breaking of chiral symmetry is spontaneous. But for afinite current quark mass, some dynamical symmetry breaking continues to add tothe explicit breaking caused by the quark mass. Moreover, using as orderparameter the mass gap, i. e. the quark mass at vanishing moment or the quarkcondensate, a finite quark mass transforms the chiral symmetry breaking from aphase transition into a crossover. For the study of the QCD phase diagram itthus is relevant to determine how the current quark mass affects chiralsymmetry breaking. Since the current quark masses of the six standard flavoursu, d, s, c, b, t span over five orders of magnitude from 1.5 MeV to 171 GeV, wedevelop an accurate numerical method to study the running quark mass gap andthe quark vacuum energy density from very small to very large current quarkmasses.

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