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

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. 1 Monopole condensation and chiral symmetry breaking Recently, chiral symmetry breaking in the maximal abelian field and in its monopolepart has been examined on SU(2) lattice at finite temperature by one of the present authors. [1] It has been found that chiral condensates (in quench level) in the U1 field and in its monopole part , keep the same feature of chiral breaking with that observed in original SU(2) gauge field. Existence of light pion in the maximal abelian field has also been reported at zero temperature.[2] As for confinement, condensation of monopoles has got increasing evidences. Wriggling of magnetic current in confinement phase[3] abelian dominance in confinement,[4, 5] saturation of area law of Wilson loops by monopole contribution,[6] evidence of ∗E-mail address: [email protected]