Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model

The present work generalizes a nonlocal version of the Polyakov loop-extended Nambu and Jona-Lasinio (PNJL) model to the case of three active quark flavors, with inclusion of the axial U(1) anomaly. Gluon dynamics is incorporated through a gluonic background field, expressed in terms of the Polyakov...

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Published in:arXiv.org 2010-06
Main Authors: Hell, T, Rößner, S, Cristoforetti, M, Weise, W
Format: Article
Language:English
Subjects:
Approximation
Critical point
Flavor (particle physics)
Mathematical analysis
Phase diagrams
Quantum chromodynamics
Quarks
Thermodynamics
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description The present work generalizes a nonlocal version of the Polyakov loop-extended Nambu and Jona-Lasinio (PNJL) model to the case of three active quark flavors, with inclusion of the axial U(1) anomaly. Gluon dynamics is incorporated through a gluonic background field, expressed in terms of the Polyakov loop. The thermodynamics of the nonlocal PNJL model accounts for both chiral and deconfinement transitions. Our results obtained in mean-field approximation are compared to lattice QCD results for \(N_\text{f}=2+1\) quark flavors. Additional pionic and kaonic contributions to the pressure are calculated in random phase approximation. Finally, this nonlocal 3-flavor PNJL model is applied to the finite density region of the QCD phase diagram. It is confirmed that the existence and location of a critical point in this phase diagram depends sensitively on the strength of the axial U(1) breaking interaction.
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subjects Approximation
Critical point
Flavor (particle physics)
Mathematical analysis
Phase diagrams
Quantum chromodynamics
Quarks
Thermodynamics
title Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
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