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

Abstract

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.

31 pages, 15 figures, minor changes compared to v1

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• The hadronic SU(3) Parity Doublet Model for Dense Matter, its extension to quarks and the strange equation of state
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• Interweaving Chiral Spirals
• Hot Quark Matter with an Axial Chemical Potential
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• Weak decay constant of neutral pions in a hot and magnetized quark matter
• How Wide is the Transition to Deconfinement?
• Nonlocal PNJL model beyond mean field and the QCD phase transition
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• Quark Matter in a Strong Magnetic Background
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Confinement and Z_3 symmetry in three-flavor QCD
• Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• The quarkynic phase and the Z_{Nc} symmetry
• Collisional energy loss above the critical temperature in QCD
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Strong magnetic fields in nonlocal chiral quark models
• Thermodynamic potential with correct asymptotics for PNJL model
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• Nuclear chiral dynamics and phases of QCD
• Fluctuations and phases in baryonic matter
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
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• Inhomogeneous phases in nonlocal chiral quark models
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Impact of vector-current interactions on the QCD phase diagram
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
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• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models
• Thermal nonlocal Nambu--Jona-Lasinio model in the real time formalism
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• Vector and axial vector mesons in a nonlocal chiral quark model
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
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• Regularization parameter independent analysis in Nambu-Jona-Lasinio model
• Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model
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• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Bayesian inference favors quark matter in neutron star interiors
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Isospin asymmetric matter in a nonlocal chiral quark model