QCD condensates with flavor SU(3) symmetry breaking from the instanton vacuum

Abstract

We investigate the effects of flavor SU(3)-symmetry breaking on the quark, gluon, and mixed quark-gluon condensates, based on the nonlocal effective chiral action from the instanton vacuum. We employ two different parameterizations for the dependence of the momentum-dependent dynamical quark mass on the strange current quark mass. With a proper choice of the current-quark mass dependence of the dynamical quark mass, we show that the gluon condensate is independent of the current quark mass. We obtain the ratios of the quark and mixed condensates, respectively: $[<\bar{s}s>/< \bar{u}u>]^{1/3}=0.75$ and $[<\bar{s}σ_{μν}G^{μν}s > <\bar{u}σ_{μν}G^{μν}u>]^{1/5}=0.87$. It turns out that the dimensional parameter $m^2_0=<\bar{q} σ_{μν}G^{μν}q>/ <\bar{q}q> =1.60\sim 1.92 {\rm GeV}^2$.