QCD condensates with flavor SU(3) symmetry breaking

Abstract

We investigate the effects of flavor SU(3)-symmetry breaking on the QCD condensates, based on the nonlocal effective chiral action from the instanton vacuum, focusing on the quark-gluon mixed one. We employ two different parameterizations for the dependence of the momentum-dependent dynamical quark mass on the strange current quark mass. We obtain the ratios of the mixed condensates:$[<\bar{s}\sigma_{\mu\nu}G^{\mu\nu}s><\bar{u}\sig ma_{\mu\nu}G^{\mu\nu}u>]^{1/5}=0.87$. It turns out that the dimensional parameter $m^2_0=<\bar{q} \sigma_{\mu\nu}G^{\mu\nu}q>/ <\bar{q}q> =1.60\sim 1.92 {\rm GeV}^2$.