The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model

Abstract

By employing some modification to the widely used two-flavor Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, we discuss the Wigner solution of the quark gap equation at finite temperature and zero quark chemical potential beyond the chiral limit, and then try to explore its influences on the chiral and deconfinement phase transitions of QCD at finite temperature and zero chemical potential. The discovery of the coexistence of the Nambu and the Wigner solutions of the quark gap equation with nonzero current quark mass at zero temperature and zero chemical potential, as well as their evolutions with temperature is very interesting for the studies of the phase transitions of QCD. According to our results, the chiral phase transition might be of first order (while the deconfinement phase transition is still a crossover, as in the normal PNJL model), and the corresponding phase transition temperature is lower than that of the deconfinement phase transition, instead of coinciding with each other, which are not the same as the conclusions obtained from the normal PNJL model. In addition, we also discuss the sensibility of our final results on the choice of model parameters.

References in corpus (12)

• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Scale for the Phase Diagram of Quantum Chromodynamics
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Dynamical chiral symmetry breaking and a critical mass
• The QCD critical end point in the PNJL model
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Existence and stability of multiple solutions to the gap equation
• Exploring the QCD phase diagram with compact stars

Cited by in corpus (19)

• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Locate QCD Critical End Point in a Continuum Model Study
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Studies of the structure of massive hybrid stars within a modified NJL model
• Critical behaviors near the (tri-)critical end point of QCD within the NJL model
• Studies of two-solar-mass hybrid stars within the framework of Dyson-Schwinger equations
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Finite volume effects on the chiral phase transition from Dyson-Schwinger equations of QCD
• Studies of the hybrid star structure within 2+1 flavors NJL model
• Identifying the presence of the critical end point in QCD phase diagram by higher order susceptibilities
• Wigner solution of the quark gap equation
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• 2+1 flavors QCD equation of state at zero temperature within Dyson-Schwinger equations
• The study of nonstrange quark stars within a modified NJL model
• New algorithm to study the pseudo-Wigner solution of the quark gap equation in the framework of the (2+1)-flavor NJL model
• QCD equation of state and the structure of neutron stars in NJL model
• Study of hybrid stars with nonstrange quark matter cores
• Phase structures of neutral dense quark matter and application to strange stars