On-shell constraints for perturbative and nonperturbative quark masses in QCD

Abstract

It is shown that the current, dynamical, and constituent quark masses, when anchored to the pole positions, are gauge-parameter independent both at the pole and in the deep-Euclidean region. The implications of theoretical and phenomenological quark-mass scales for chiral-symmetry breakdown and for the bridge between the relativistic theory of QCD and the nonrelativistic SU(6) quark model are discussed.