How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities

Abstract

We explore the phase diagram and the critical behavior of QCD thermodynamic quantities in the context of the so-called Polyakov--Nambu--Jona-Lasinio model. We show that this improved field theoretical model is a successful candidate for studying the equation of state and the critical behavior around the critical end point. We argue that a convenient choice of the model parameters is crucial to get the correct description of isentropic trajectories. The effects of the regularization procedure in several thermodynamic quantities is also analyzed. The results are compared with simple thermodynamic expectations and lattice data.

27 pages, 7 figures, 4 tables; PRD version

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• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• Multiple Critical Points in Effective Quark Models
• The effective QCD phase diagram and the critical end point
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model
• Pion dissociation and Levinson's theorem in hot PNJL quark matter
• Equation of state of a quark-meson mixture in the improved-PNJL model at finite chemical potential
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• Studies of the structure of massive hybrid stars within a modified NJL model
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• The QCD phase diagram from Schwinger-Dyson Equations
• Thermodynamic potential with correct asymptotics for PNJL model
• Study of Beta Equilibrated 2+1 Flavor Quark Matter in PNJL Model
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
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• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Thermodynamics of strongly interacting matter in a hybrid model
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• Causality violation and the speed of sound of hot and dense quark matter in the Nambu--Jona-Lasinio model
• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Bulk viscosity of hot dense Quark matter in PNJL model
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Deconfinement vs. chiral symmetry and higher representation matter
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Anisotropy of magnetized quark matter
• Chiral Symmetry transition in the Linear Sigma Model with quarks: Counting effective QCD degrees of freedom from low to high temperature
• Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework
• Consistent approach to study gluon quasi-particles
• Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation
• Sensitivity of predictions in an effective model -- application to the chiral critical end point position in the Nambu--Jona-Lasinio model
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Isentropic thermodynamics and scalar-mesons properties near the QCD critical end point
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Unified Functional-Holographic Theory of the QCD Critical End Point
• The role of the chiral phase transition in modelling the kaon to pion ratio
• Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description