Coupling of pion condensate, chiral condensate, and Polyakov loop in an extended Nambu-Jona-Lasinio model

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.064910· OSTI ID:21003495

Zhao, Zhang ^[1]; Yuxin, Liu ^[2]

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1. Department of Physics, Peking University, Beijing 100871 (China)
2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China)

The Nambu-Jona-Lasinio model with a Polyakov loop is extended to the finite isospin chemical potential case, which is characterized by the simultaneous coupling of the pion condensate, chiral condensate, and Polyakov loop. The pion condensate, chiral condensate, and Polyakov loop as functions of temperature and isospin chemical potential are investigated by minimizing the thermodynamic potential of the system. The resulting (T,{mu}{sub I}) phase diagram is studied with emphasis on the critical point and Polyakov loop dynamics. The tricritical point for the pion superfluidity phase transition is confirmed, and the phase transition for isospin symmetry restoration in the high isospin chemical potential region perfectly coincides with the crossover phase transition for the Polyakov loop. These results agree with the lattice QCD data.

• OSTI ID: 21003495
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 75; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHIRALITY
COLOR MODEL
CONDENSATES
COUPLING
ISOSPIN
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
SUPERFLUIDITY
SYMMETRY
TEMPERATURE DEPENDENCE