Chiral-symmetry breaking in QCD. II. Running coupling constant

Abstract

The quark-propagator Dyson-Schwinger equation, with a running coupling constant to provide an ultraviolet regulator, with no infrared cutoff, is calculated numerically in the Landau gauge. It is shown that, for one or more generations of quarks, the chiral symmetry of the bare QCD Lagrangian is dynamically broken, so that quark masses are engendered.