Chiral Phase Transition beyond Mean Field Approximation

Abstract

Based on the analogy between the Nambu--Jona-Lasinio model of chiral symmetry breaking and the BCS theory of superconductivity, we investigate the effect of $\bar{q}q$ pair fluctuations on the chiral phase transition. We include uncondensed $\bar{q}q$ pairs at finite temperature and chemical potential in a self-consistent T-matrix formalism, the so-called $G_{0}G$ scheme. The pair fluctuations reduce significantly the critical temperature and make quarks massive above the critical temperature.

5 pages, 4 figures