QCD Monopoles and Chiral Symmetry Breaking on SU(2) Lattices

TL;DR

This study investigates the role of monopoles in chiral symmetry breaking and confinement in SU(2) lattice gauge theory by analyzing pseudoscalar correlators and topological charge correlations.

Contribution

It provides evidence that monopole condensation may be responsible for chiral symmetry breaking and confinement, supported by correlator behavior and topological charge analysis.

Findings

Light pseudoscalar bosons observed in monopole-dominant fields

Correlator in regular parts behaves like free quark-antiquark

Monopoles carry topological charge correlated with the original gauge field

Abstract

Pseudoscalar correlator is measured in a singular (monopole dominant) and a regular (photon dominant) parts of a maximal abelian field on SU(2) lattice. In the abelian field and its singular part, light pseudoscalar boson are observed similar to that in SU(2) field. On the other hand , the correlator in the regular part behaves like a product of free quark and anti-quark. Obtained results give a support for a possibility that monopole condensation is responsible for chiral symmetry breaking as well as confinement. Correlation between monopoles and instantons is also investigated by observing topological charge. A field including monopoles carrys topological charge with good correlation to that in original SU(2) gauge field while that including only photons shows no topological charge.