Possible color octet quark-antiquark condensate in the instanton model

Inspired by a recent proposal for a Higgs description of QCD we study the possible formation of a color- and flavor-octet quark-antiquark condensate in the instanton liquid model. For this purpose we calculate two-point correlation functions of color-singlet and octet quark-antiquark operators. We find long range order in the standard < bar ψψ> 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