Random matrix study of the phase structure of QCD with two colors - art. no. 074016

We apply a random matrix model to the study of the phase diagram of QCD wit h two colors, two flavors, and a small quark mass. Although the effects of temperature are only included schematically, this model reproduces most of the ground state predictions of chiral perturbation theory and also gives a qualitative picture of the phase diagram at all temperatures. It leads, ho wever, to an unphysical behavior of the chiral order parameter and the bary on density in vacuum and does not support diquark condensation at arbitrari ly high densities. A better treatment of temperature dependence leads to co rrect vacuum and small temperature properties. We compare our results at bo th high and low densities with the results of microscopic calculations usin g the Nambu-Jona-Lasinio (NJL) model and discuss the effects of large momen tum scales on the variations of condensation fields with chemical potential .