The chromodielectric model: Confinement, chiral symmetry breaking, and the pion

Abstract

The chromodielectric model is a chirally symmetric effective model of quantum chromodynamics, where the long-range parts of the (nonabelian) gluon self-interactions are assumed to give rise to a color-dielectric function. We study dynamical chiral symmetry breaking in this model using a local approximation, where the Goldstone pion is assumed to be essentially point-like. The usual running coupling constant of QCD is included to describe the high-momentum region. We show how confinement and the Goldstone pion arise naturally and simultaneously in this approach and also that familiar, successful chiral bag models are obtained as a limiting case.