Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-04
Phys.Lett.B647:145-151,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 4 figures, accepted for publication in Phys.Lett.B
Scientific paper
10.1016/j.physletb.2007.01.059
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 $[<\bar{s}\sigma_{\mu\nu}G^{\mu\nu}s > <\bar{u}\sigma_{\mu\nu}G^{\mu\nu}u>]^{1/5}=0.87$. It turns out that the dimensional parameter $m^2_0=<\bar{q} \sigma_{\mu\nu}G^{\mu\nu}q>/ <\bar{q}q> =1.60\sim 1.92 {\rm GeV}^2$.
Kim Hyun-Chul
Nam Seung-il
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