A model for chiral symmetry breaking in QCD

Abstract

A recently proposed model for dynamical breaking of chiral symmetry in QCD is extended and developed for the calculation of pion and chiral symmetry breaking parameters. The pion is explicitly realized as a massless Goldstone boson and as a bound state of the constituent quarks. We compute, in the limit of exact chiral symmetry, M Q, the constituent quark mass ƒ π the pion decay coupling, 〈 uu〉 , the constituent quark loop density, μ π 2/ m q , the ratio of the Goldstone boson mass squared to the bare quark mass, and 〈 r 2〉 π , the pion electromagnetic charge radius squared.