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

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

2005-08-19

arxiv.org/abs/hep-ph/0508211v2

Phys.Lett. B633 (2006) 701-709

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2005.11.054

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 ${\cal O}(1/N_c)$-, ${\cal O}(m/N_c)$-, and ${\cal O}((m\ln m) /N_c)$-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.

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