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

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.