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

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 tem...

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Veröffentlicht in:Physical review. C, Nuclear physics Nuclear physics, 2007-06, Vol.75 (6)
Hauptverfasser: Zhang Zhao, CCAST, Liu Yuxin, Department of Physics, Peking University, Beijing 100871
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CCAST
Liu Yuxin
Department of Physics, Peking University, Beijing 100871
description 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.
doi_str_mv 10.1103/PHYSREVC.75.064910
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source American Physical Society Journals
subjects CHIRALITY
COLOR MODEL
CONDENSATES
COUPLING
ISOSPIN
NUCLEAR PHYSICS AND RADIATION PHYSICS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
SUPERFLUIDITY
SYMMETRY
TEMPERATURE DEPENDENCE
title Coupling of pion condensate, chiral condensate, and Polyakov loop in an extended Nambu-Jona-Lasinio model
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