English

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

High Energy Physics - Phenomenology 2009-11-11 v2

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 O(1/Nc){\cal O}(1/N_c)-, O(m/Nc){\cal O}(m/N_c)-, and O((mlnm)/Nc){\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/Nc1/N_c corrections should be reconsidered in the systematical way. The present results are consistent with those from chiral perturbation theory.

Keywords

Cite

@article{arxiv.hep-ph/0508211,
  title  = {Meson-loop contributions to the quark condensate from the instanton vacuum},
  author = {Hyun-Chul Kim and M. M. Musakhanov and M. Siddikov},
  journal= {arXiv preprint arXiv:hep-ph/0508211},
  year   = {2009}
}

Comments

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