QCD monopole and sigma meson coupling

TL;DR

This paper explores how QCD monopoles, under Abelian dominance, induce chiral condensates leading to chiral symmetry breaking and quark confinement, supported by a phenomenological sigma model and dual superconductor assumptions.

Contribution

It demonstrates the role of monopole condensation in chiral symmetry breaking and confinement within QCD, introducing a coupled sigma model with monopoles.

Findings

Chiral condensate forms around QCD monopoles.

Monopole condensation causes chiral symmetry breaking.

Monopoles couple with mesons, suggesting observable effects.

Abstract

Under the assumption of the Abelian dominance in QCD, we show that chiral condensate is locally present around a QCD monopole. The appearance of the chiral condensate around a GUT monopole was shown in the previous analysis of the Rubakov effect. We apply a similar analysis to the QCD monopole. It follows that the condensation of the monopole carrying the chiral condensate leads to the chiral symmetry breaking as well as quark confinement. To realize the result explicitly, we present a phenomenological linear sigma model coupled with the monopoles, in which the monopole condensation causes the chiral symmetry breaking as well as confinement. The monopoles are assumed to be described by a model of dual superconductor. Because the monopoles couple with mesons, we point out the presence of an observable color singlet monopole coupled with the mesons.