English

Possible Color Octet Quark-Anti-Quark Condensate in the Instanton Model

High Energy Physics - Lattice 2009-11-07 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Inspired by a recent proposal for a Higgs description of QCD we study the possible formation of a color-octet/flavor-octet quark-anti-quark condensate in the instanton liquid model. For this purpose we calculate two-point correlation functions of color-singlet and octet quark-anti-quark operators. We find long range order in the standard <ψˉψ><\bar{\psi}\psi> channel, but not in the color-octet channel. We emphasize that similar calculations in lattice QCD can check whether or not a color-flavor locked Higgs phase is realized in QCD at zero temperature and baryon density.

Keywords

Cite

@article{arxiv.hep-lat/0102007,
  title  = {Possible Color Octet Quark-Anti-Quark Condensate in the Instanton Model},
  author = {Thomas Schaefer},
  journal= {arXiv preprint arXiv:hep-lat/0102007},
  year   = {2009}
}

Comments

10 pages, 2 figures, (revised) added discussion of flavor symmetry breaking source terms