Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective

Abstract

In this work we study the hadron-quark phase transition matching relativistic hadrodynamical mean-field models (in the hadronic phase) with the more updated versions of the Polyakov-Nambu-Jona-Lasinio models (on the quark side). Systematic comparisons are performed showing that the predicted hadronic phases of the matching named as RMF-PNJL, are larger than the confined phase obtained exclusively by the Polyakov quark models. This important result is due to the effect of the nuclear force that causes more resistance of hadronic matter to isothermal compressions. For sake of comparison, we also obtain the matchings of the hadronic models with the MIT bag model, named as RMF-MIT, showing that it presents always larger hadron regions, while shows smaller mixed phases than that obtained from the RMF-PNJL ones. Thus, studies of the confinement transition in nuclear matter, done only with quark models, still need nuclear degrees of freedom to be more reliable in the whole $T\times \mu$ phase diagram.

31 pages, 8 figures (revtex)

References in corpus (16)

• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Thermodynamics of the PNJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Quark number susceptibilities: lattice QCD versus PNJL model
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Phase diagrams in the Hadron-PNJL model
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Hybrid neutron stars based on a modified PNJL model
• Phase transition from hadronic matter to quark matter
• Phase transition of the nucleon-antinucleon plasma at different ratios

Cited by in corpus (23)

• Hybrid Stars in a Strong Magnetic Field
• Non-congruence of the nuclear liquid-gas and deconfinement phase transitions
• Hadron Resonance Gas Equation of State from Lattice QCD
• Hadron-Resonance Gas at Freeze-out: Reminder on Importance of Repulsive Interactions
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Non-equilibrium phase transition in relativistic nuclear collisions: Importance of the equation of state
• Quark Matter in a Strong Magnetic Background
• Confinement and Z_3 symmetry in three-flavor QCD
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• The hadron resonance gas model: thermodynamics of QCD and Polyakov loop
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• A Hybrid Model for QCD Deconfining Phase Boundary
• Thermodynamics of strongly interacting matter in a hybrid model
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Exploring criticality in the QCD-like two quark flavour models
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Thermodynamical phases in a PNJL model at zero temperature
• Chiral soliton model at finite temperature and density
• Nontopological Soliton in the Polyakov Quark Meson Model
• Consistent approach to study gluon quasi-particles
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations