A NJL-based study of the QCD critical line

Abstract

We employ a 3 flavor NJL model to stress some general remarks about the QCD critical line. The dependence of the critical curve on ${\mu }_q=({\mu }_u+{\mu }_d)/2$ and ${\mu }_I=({\mu }_u-{\mu }_d)/2$ is discussed. The quark masses are varied to confirm that, in agreement with universality arguments, the order of transition depends on the number of active flavors $N_f$. The slope of the critical curve vs. chemical potential is studied as a function of $N_f$. We compare our results with those recently obtained in lattice simulations to establish a comparison among different models.

17 pages, 5 figures

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Cited by in corpus (19)

• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Universality of Phases in QCD and QCD-like Theories
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermodynamics of strongly interacting matter in a hybrid model
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• Investigation of meson masses for real and imaginary chemical potential
• Thermodynamic Geometry of Nambu -- Jona Lasinio model
• Random matrix model at nonzero chemical potentials with anomaly effects
• Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
• Baryon octet and decuplet phenomenology in a three-flavor extended linear sigma model
• A study of meson condensation and of the QCD critical line