The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations

Abstract

Within the framework of Dyson-Schwinger equations (DSEs), we discuss the chiral phase transition of QCD with a chiral chemical potential ${\mu }_5$ as an additional scale. We focus especially on the issues related to the widely accepted as well as interested critical end point (CEP). With the help of a scalar susceptibility, we find that there might be no CEP${}_5$ in the $T-{\mu }_5$ plane, and the phase transition in the $T-{\mu }_5$ plane might be totally crossover when $\mu <50$ MeV, which has apparent consistency with the Lattice QCD calculation. Our study may also provide some useful hints to some other studies related to ${\mu }_5$.

Comments: 7 pages, 4 figures