TORONS, CHIRAL SYMMETRY BREAKING AND U(1) PROBLEM IN QCD AND SQCD

Abstract

The new class of self-dual solutions with fractional topological charge in SU(2) gauge theories is considered. The solution is defined on manifold with boundary, it has topological charge Q=1/2 and action S=(8π2)/g2×Q. The contribution of the corresponding fluctuations to chiral condensates [Formula: see text], <λ2> in SQCD is calculated and it is consistent with Konishi anomaly. For the fermion condensate in QCD (with Nf=Nc=2, m→0) we find [Formula: see text], [Formula: see text]. The unbound resonances of the continuum at λ=0 play a crucial role in this calculation.