Spontaneous Chiral Symmetry breaking (SCSB) in quark confinement

Abstract

The non-perturbative aspects of QCD, the gauge theory of strong interactions are studied. The phenomenon of confinement of quarks and the dynamical chiral symmetry breaking are examined. The phenomenological linear confining potential is consistent with quantum gauge Yang-Mills theory. Such a potential emanates from (1/q^4) propagator for gluons in the infrared region. The dynamical chiral symmetry breaking in the above region studied using Schwinger-Dyson equation in the ladder approximation. We exhibit dynamical chiral symmetry breaking. The Parameters in the analysis are determined by evaluating the quark condensate and comparing with its recent values. The numerical value of M(0) for quark is found to be 0.63 GeV in agreement with lattice QCD estimates. With this, we predict the dual gluon mass to be 980 MeV which is in reasonable agreement with earlier estimate of 848 MeV.