Thermodynamical phases in a PNJL model at zero temperature

Abstract

The confinement/deconfinement transition described the Polyakov-Nambu-Jona-Lasinio (PNJL) model is extended to be operative at zero temperature regime. In this study, the scalar and vector channel interaction strengths of the original PNJL model are modified by introducing a dependence on the traced Polyakov loop. In such a way the effective interactions depend on the quark phase and in turn provides a backreaction of the quarks to the gluonic sector, also at zero temperature. On general grounds from quantum chromodynamics this is an expected feature. The thermodynamics of the extended model (PNJL0) is studied in detail. It presents along with a suitable choice of the Polyakov potential, a first order confined/deconfined quark phase transition even at $T=0$. We also show that the vector channel plays an important role in order to allow $\Phi \ne 0$ solutions for the PNJL0 model. Furthermore, the sensitivity of the combined quarkyonic and deconfinement phases to the vector interaction strength and the proposed parametrization of the Polyakov-loop potential at $T=0$ allowed to set a window for the bulk values of the relevant parameters.

arXiv comment10 pages, 11 figures

References in corpus (46)

• The Large N Limit of Superconformal Field Theories and Supergravity
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The phase diagram of dense QCD
• Chiral effective model with the Polyakov loop
• Diquark Bose Condensates in High Density Matter and Instantons
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Phases of Dense Quarks at Large N_c
• Evidence for quark-matter cores in massive neutron stars
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Lattice QCD at Finite Density -- An introductory review
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• A Novel Approach to Model Hybrid Stars
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Quarkyonic Matter and Chiral Symmetry Breaking
• Baryons and the phase diagram for a large number of colors and flavors
• Thermodynamics of the PNJL model
• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Entanglement between deconfinement transition and chiral symmetry restoration
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Consistent relativistic mean field models constrained by GW170817
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Fermionic bound states in Minkowski-space: Light-cone singularities and structure
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Density-dependent van der Waals model under the GW170817 constraint
• Neutron Stars as a Probe for Dense Matter
• A large-$N_c$ PNJL model with explicit Z${}_{N_c}$ symmetry
• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• Constraints and correlations of nuclear matter parameters from a density-dependent van der Waals model
• Excited states of the Wick-Cutkosky model with the Nakanishi representation in the Light-Front framework
• Phase transition of the nucleon-antinucleon plasma at different ratios

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• Strange stars admixed with dark matter: equiparticle model in a two fluid approach
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