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 ${\mu }_5$.

7 pages, 4 figures

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• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• QCD phase diagram in chiral imbalance with self-consistent mean field approximation
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities