Semiclassical approximation for non-Abelian field strength correlators in the instanton dilute gas model

Abstract
Field strength correlators are semiclassically evaluated in the dilute gas model of non-Abelian sources (instantons) and compared with lattice data for QCD at zero temperature. We show that one of the Euclidean invariant, tensorial structures vanishes for configurations being purely self-dual or anti-self-dual. We compute the invariant functions contributing to the correlators within the two lowest orders in an instanton density expansion. Fitting instanton size and density for quenched and full QCD, we obtain a reasonable description.