QCD phase diagram in chiral imbalance with self-consistent mean field approximation

Abstract

We employ a new self-consistent mean field approximation of NJL model, which introduces a free parameter $\alpha$ ($\alpha$ reflects the weight of different interaction channels), to study the effects of the chiral chemical potential ${\mu }_5$ on QCD phase structure, especially the location of the QCD critical end point (CEP). We find that, at a high temperature, the critical temperature of QCD phase transition smoothly increases with ${\mu }_5$ at the beginning, and then decreases rapidly. At low temperature and high baryon density region, the increase of the chiral chemical potential will reduce the critical chemical potential of phase transition. The temperature of the CEP shows a non-monotonic dependence on the chiral chemical potential with a long plateau around the maximum. At ${\mu }_5=0$, we found that the CEP will disappear when the $\alpha$ value is larger than 0.71 and will reappear when the ${\mu }_5$ increases. This study is important for exploring the QCD phase structure and the location of CEP in chiral imbalanced systems.

6 pages, 6 figures

References in corpus (5)

• The Chiral Magnetic Effect
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Quantum Anomalies in Dense Matter
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter

Cited by in corpus (7)

• Interacting $ud$ and $uds$ quark matter at finite densities and quark stars
• Causality violation and the speed of sound of hot and dense quark matter in the Nambu--Jona-Lasinio model
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Hybrid stars with large quark cores within the parity doublet model and modified NJL model
• Color superconductivity with self-consistent NJL-type model
• Diquark and chiral condensate in a self-consistent NJL-type model
• Hybrid stars and QCD phase transition with a NJL-like model