Discussions on the crossover property within the Nambu--Jona-Lasinio model

Abstract

In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.

References in corpus (19)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Pion mass and decay constant
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Phase diagram in an external magnetic field beyond a mean-field approximation
• The Surface Tension of Quark Matter in a Geometrical Approach
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• The QCD Critical End Point Under Strong Magnetic Fields
• Chiral phase transition in the presence of spinodal decomposition
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• Two-dimensional chiral crystals in the NJL model
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Compact stars with a quark core within NJL model
• Crossover from a continuum study of chiral susceptibility
• A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation
• Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons
• Calculation of the staggered spin correlation in the framework of the Dyson-Schwinger approach
• Calculation of tensor susceptibility beyond rainbow-ladder approximation of Dyson-Schwinger equations approach

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