Chiral phase transition of QCD at finite chemical potential

Abstract

In the framework of Dyson-Schwinger equation (DSE) approach, we propose a chemical potential dependent effective gluon propagator and the quark gap equation is solved with such a gluon propagator. It is found for the first time in DSE approach that with light current quark mass m not equal 0, the Wigner solution will appear at some chemical potential mu(W). Based on this, the chiral phase transition at finite chemical potential is studied and the result shows that it is a first-order phase transition. The results are compared with the known results in the literature.