Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop

Abstract

We study the interplay between the chiral and the deconfinement transitions, both at high temperature and high quark chemical potential, by a non local Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation and requiring neutrality of the ground state. We consider three forms of the effective potential of the Polyakov loop: two of them with a fixed deconfinement scale, cases I and II, and the third one with a $\mu$ dependent scale, case III. In the cases I and II, at high chemical potential $\mu$ and low temperature $T$ the main contribution to the free energy is due to the Z(3)-neutral three-quark states, mimicking the quarkyonic phase of the large $N_c$ phase diagram. On the other hand in the case III the quarkyonic window is shrunk to a small region. Finally we comment on the relations of these results to lattice studies and on possible common prospects. We also briefly comment on the coexistence of quarkyonic and color superconductive phases.

16 pages, 7 figures, RevTeX4. Some typos corrected, references added

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• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
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• The problem of repulsive quark interactions - Lattice versus mean field models
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• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• The dynamical holographic QCD method for hadron physics and QCD matter
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Number of the QCD critical points with neutral color superconductivity
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Color neutrality effects in the phase diagram of the PNJL model
• The quarkynic phase and the Z_{Nc} symmetry
• Correlations among discontinuities in QCD phase diagram
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Hadron-quark phase transition in asymmetric matter with dynamical quark masses
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• On the neutrality issue in the Polyakov-loop NJL model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
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• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Thermodynamical phases in a PNJL model at zero temperature
• PNJL model at zero temperature: three-flavor case
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Role of the conserved charges in the chiral symmetry restoration phase transition
• A PNJL model in 0+1 Dimensions
• Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework
• The Chiral Phase Transitions of Helical Matter
• Colored-hadron distribution in hadron scattering in SU(2) lattice QCD
• Late-Time Cosmic Acceleration from QCD Confinement Dynamics
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description