Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD

Abstract

We investigate the phase diagram of strongly interacting matter as a function of temperature and baryonic density/chemical potential, within Nambu--Jona-Lasinio type models. We perform a systematic study concerning the existence, location, and properties of a critical end point/tricritical point, both in SU(2) and SU(3) versions of the model. We verify that, for $m_u=m_d=0$ and up to a critical strange quark mass, there is a tricritical point, which becomes a critical end point in a world with realistic values of the current quark masses. The properties of physical observables, such as the baryon number susceptibility and the specific heat, are analyzed in the vicinity of the critical end point, with special focus on their critical exponents. The behavior of mesons in the $T-{\mu }_B({\rho }_B)$ plane is analyzed in connection with possible signatures of partial and effective restoration of chiral symmetry.

29 pages, 8 figures; PRD version

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• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Susceptibilities near the QCD (tri)critical point
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Pseudoscalar neutral mesons in hot and dense matter
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
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• Pseudoscalars Mesons in Hot, Dense Matter
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
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• Effective restoration of chiral and axial symmetries at finite temperature and density

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• Holographic modeling of nuclear matter and neutron stars
• The QCD critical end point in the PNJL model
• Degrees of freedom and the phase transitions of two flavor QCD
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Multiple Critical Points in Effective Quark Models
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• QCD pressure: renormalization group optimized perturbation theory confronts lattice
• Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point
• Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework
• Renormalization group improved pressure for hot and dense quark matter
• Consistent approach to study gluon quasi-particles
• Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• Quark flavors in hot and dense holographic QCD: setup and comparison to data
• Phase structure, critical points and susceptibilities in Nambu-Jona-Lasinio type models