Equation of state of a quark-meson mixture in the improved-PNJL model at finite chemical potential

Abstract

We study the equation of state of QCD using an improved version of the three-flavor Polyakov-Nambu-Jona-Lasinio model beyond the mean-field approximation. It incorporates the effects of unquenched quarks into the Polyakov-loop effective potential, as well as mesonic contributions to the grand-canonical potential. We study in full detail the calculation of the thermodynamical potential in this approach and compare the resulting pressure and entropy density with the most-recent lattice-QCD calculations at zero baryochemical potential. Finally, we present some exploratory results at finite chemical potential which include the phase diagram of the model, the quark and meson masses, and finally, the thermodynamical pressure.

44 pages, 23 figures. Small improvements and more explanations added. Reference list updated. Comparison with recent lattice-QCD results incorporated. Version accepted by the Physical Review C journal

References in corpus (15)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• The Phase Structure of the Polyakov--Quark-Meson Model
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Improved Polyakov-loop potential for effective models from functional calculations
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies
• Flavor dependence of baryon melting temperature in effective models of QCD
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• The Quark Propagator in the NJL Model in a self-consistent 1/Nc Expansion
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
• Observables in ultrarelativistic heavy-ion collisions from two different transport approaches for the same initial conditions
• Equation of state of a quark-Polyakov loop-meson mixture in the PNJL model at finite temperature
• Mott-hadron resonance gas and lattice QCD thermodynamics

Cited by in corpus (21)

• Baryon preclustering at the freeze-out of heavy-ion collisions and light-nuclei production
• Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
• Mott dissociation of pions and kaons in hot, dense quark matter
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Thermodynamics of strongly interacting matter in a hybrid model
• Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2+1) Polyakov-Nambu-Jona-Lasinio Model
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials
• In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Anisotropy of magnetized quark matter
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Inhibition of splitting of the chiral and deconfinement transition due to rotation in QCD: the phase diagram of linear sigma model coupled to Polyakov loop
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Degeneracy patterns of chiral companions at finite temperature
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Quark cluster expansion model for interpreting finite-T lattice QCD thermodynamics