Meson-loop contributions to the quark condensate from the instanton vacuum

Abstract

We investigate the quark condensate of the QCD vacuum within the instanton vacuum model. We calculate the meson-loop contributions to the dynamical quark mass and quark condensate to $\mathcal{O}(1/N_c)$-, $\mathcal{O}(m/N_c)$-, and $\mathcal{O}((m\ln m)/N_c)$-order corrections. We find that the meson (especially pion) loops provide substantial contributions to the dynamical quark mass and as a result to the quark condensate. The results indicate that the $1/N_c$ corrections should be reconsidered in the systematical way. The present results are consistent with those from chiral perturbation theory.

Final version accepted for publication in Phys. Lett. B. The title was changed. Small corrections were added

References in corpus (5)

• Instantons at work
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• Infrared and ultraviolet properties of the Landau gauge quark propagator
• Magnetic susceptibility of the QCD vacuum
• Effective chiral lagrangian in the chiral limit from the instanton vacuum

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• Instanton effects on charmonium states
• Scalar susceptibility from the instanton vacuum with meson-loop corrections
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• QCD isospin breaking ChPT low-energy constants from the instanton vacuum
• Chiral restoration at finite temperature with meson loop corrections
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• Pion radiative weak decay from the instanton vacuum
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• Heavy pseudoscalar-meson decay constants with strangeness from the extended nonlocal chiral-quark model
• ILM gluons in perturbative QCD