QCD Phase Diagram in the Improved PNJL Model

TANG Zhanduo; SHAO Guoyun; GAO Xueyan; GAO Ning; HE Weibo

doi:10.11804/NuclPhysRev.34.03.575

Polyakov-Nambu-Jona-Lasinio (PNJL) model is one of the most popular effective quark models to investigate the properties of strongly interacting matter. Based on the PNJL model, we consider the entanglement interactions between the chiral condensate and Polyakov-loop, as well as the chemical potential modification of Polyakov-loop potential simultaneously, which is named μEPNJL model. Compared with the original PNJL model, the calculations in the mean field approximation show that the critical end point (CEP) given in the μEPNJL model moves towards higher temperature and smaller chemical potential in the T-μ phase diagram. Besides, the chiral symmetry restoration and deconfinement phase transition coincide well in a wide range of chemical potential. Comparing our calculations with the measurement of the moments of net-proton multiplicity distributions at Relativistic Heavy-Ion Collider (RHIC) by STAR Collaboration, we find that the CEP given by μEPNJL model can be closer to the range predicted by the experiment through appropriate parameter adjustment.

QCD Phase Diagram in the Improved PNJL Model

Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China

Funds: National Natural Science Foundation of China (11305121); Specialized Research Fund for Doctoral Program of Higher Education (20130201120046); Natural Science Basic Research Plan in Shaanxi Province of China(2014JQ1012)

Received Date: 2016-11-10

Rev Recd Date: 2017-05-19

Publish Date: 2017-07-18

Key words:

strongly interacting matter /
phase diagram /
phase transition of chiral symmetry restoration /
deconfinement phase transition /
critical end point

Abstract: Polyakov-Nambu-Jona-Lasinio (PNJL) model is one of the most popular effective quark models to investigate the properties of strongly interacting matter. Based on the PNJL model, we consider the entanglement interactions between the chiral condensate and Polyakov-loop, as well as the chemical potential modification of Polyakov-loop potential simultaneously, which is named μEPNJL model. Compared with the original PNJL model, the calculations in the mean field approximation show that the critical end point (CEP) given in the μEPNJL model moves towards higher temperature and smaller chemical potential in the T-μ phase diagram. Besides, the chiral symmetry restoration and deconfinement phase transition coincide well in a wide range of chemical potential. Comparing our calculations with the measurement of the moments of net-proton multiplicity distributions at Relativistic Heavy-Ion Collider (RHIC) by STAR Collaboration, we find that the CEP given by μEPNJL model can be closer to the range predicted by the experiment through appropriate parameter adjustment.

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QCD Phase Diagram in the Improved PNJL Model

doi: 10.11804/NuclPhysRev.34.03.575

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