Abelian dominance of chiral symmetry breaking in lattice QCD.

Calculations of the chiral condensate 〈χ̄χ〉 on the lattice using staggered fermions and the Lanczos algorithm are presented. Four gauge fields are considered: the quenched non-Abelian field, an Abelian projected field, and monopole and photon fields further decomposed from the Abelian field. Abelian projection is performed in maximal Abelian gauge and in Polyakov gauge. The results show that monopoles in maximal Abelian gauge largely reproduce the chiral condensate values of the full non-Abelian theory, in both SU(2) and SU(3) color. PACS numbers: 11.15Ha,11.30.Rd Typeset using REVTEX 1