Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters

Abstract

We show that the magnitude of the order parameters in Polyakov-Nambu-Jona-Lasinio (PNJL) model, given by the quark condensate and the Polyakov loop, can be used as a criterium to clearly identify, without ambiguities, phases and boundaries of the strongly interacting matter, namely, the broken/restored chiral symmetry, and confinement/deconfinement regions. This structure is represented by the projection of the order parameters in the temperature-chemical potential plane, which allows a clear identification of pattern changes in the phase diagram. Such a criterium also enables the emergence of a quarkyonic phase even in the two-flavor system. We still show that this new phase diminishes due to the influence of an additional vector-type interaction in the PNJL phase diagrams, and is quite sensitive to the effect of the change of the $T_0$ parameter in the Polyakov potential. Finally, we show that the phases and boundaries constructed by our method indicate that the order parameters should be more strongly correlated, as in the case of entanglement PNJL (EPNJL) model. This result suggests a novel way to pursue further investigation of new interactions between the order parameters in order to improve the PNJL model.

12 pages, 11 figures. Version published in PRD

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• Isoscalar-vector interaction and hybrid quark core in massive neutron stars
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• Hadron-quark phase transition in asymmetric matter with boson condensation
• Hybrid neutron stars based on a modified PNJL model
• The hadron resonance gas model: thermodynamics of QCD and Polyakov loop
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Cited by in corpus (15)

• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• The kurtosis of net baryon number fluctuations from a realistic Polyakov--Nambu--Jona-Lasinio model along the experimental freeze-out line
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• Equation of state of a quark-meson mixture in the improved-PNJL model at finite chemical potential
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Spinodal Instabilities of Baryon-Rich Quark-gluon Plasma in the PNJL Model
• Impact of the vector interaction on the phase structure of QCD matter
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Thermodynamical phases in a PNJL model at zero temperature
• Polyakov loop spectroscopy in the confined phase of gluodynamics and QCD
• QCD critical end point from a realistic PNJL model