ABELIAN DOMINANCE IN CHIRAL-SYMMETRY BREAKING

Calculations of the chiral condensate (<(psi)over bar psi>) on the lat tice using staggered fermions and the Lanczos algorithm are presented. Three gauge fields are considered: the quenched non-Abelian field, th e Abelian field projected in the maximal Abelian gauge, and the monopo le field further decomposed from the Abelian field. The results show t hat the Abelian monopoles largely reproduce the chiral condensate valu es of the full non-Abelian theory, both in SU(2) and in SU(3).