Confining dyon-antidyon Coulomb liquid model. I.

Abstract

We revisit the dyon-antidyon liquid model for the Yang-Mills confining vacuum discussed by Diakonov and Petrov, by retaining the effects of the classical interactions mediated by the streamline between the dyons and antidyons. In the SU(2) case the model describes a 4-component strongly interacting Coulomb liquid in the center symmetric phase. We show that in the linearized screening approximation, the streamline interactions yield Debye-Huckel-type corrections to the bulk parameters, such as the pressure and densities, but do not alter significantly the large-distance behavior of the correlation functions in leading order. The static scalar and charged structure factors are consistent with a plasma of a dyon-antidyon liquid with a Coulomb parameter ${\mathrm{\ensuremath{\Gamma}}}_{D\overline{D}}\ensuremath{\approx}1$ in the dyon-antidyon channel. Heavy quarks are still linearly confined and the large spatial Wilson loops still exhibit area laws in leading order. The ${\mathrm{t}}^{\ensuremath{'}}$ Hooft loop is shown to be one modulo Coulomb corrections.