Monopole Dominance for Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory

Abstract

Using the effective potential formalism, we study dynamical chiral symmetry breaking (D$χ$SB) in the dual Ginzburg-Landau (DGL) theory, where the color confinement is brought by monopole condensation. The effective potential as a function of infrared quark mass is found to have double-well structure, which leads to spontaneous breaking of chiral symmetry. To examine the role of confinement, we divide the effective potential into the confinement part and others, which correspond to the confinement term and other (Yukawa, Coulomb) terms of the gluon propagator in the DGL theory. It is found that the confinement part gives the dominating contribution to the \dcsb, which is regarded as monopole dominance for D$χ$SB.