Analysis of the chiral phase transition and the color superconductivity by evaluating the Wilsonian effective potential in thermal gauge theories

Abstract

We investigate properties of the spontaneous chiral symmetry breaking and the color superconductivity in finite density QCD by using non-perturbative renormalization group. When we lower the renormalization scale, effective 4-fermi interactions are generated by the gauge interactions, which consequently bring about the spontaneous symmetry breakdown at the low energy scale. We analyze the behavior of these 4-fermi coupling constants to obtain the critical density for color superconductivity at zero temperature.