Thermodynamic potential with correct asymptotics for PNJL model

Abstract

An attempt is made to resolve certain incongruities within the Nambu - Jona-Lasinio (NJL) and Polyakov loop extended NJL models (PNJL) which currently are used to extract the thermodynamic characteristics of the quark-gluon system. It is argued that the most attractive resolution of these incongruities is the possibility to obtain the thermodynamic potential directly from the corresponding extremum conditions (gap equations) by integrating them, an integration constant being fixed in accordance with the Stefan-Boltzmann law. The advantage of the approach is that the regulator is kept finite both in divergent and finite valued integrals at finite temperature and chemical potential. The Pauli-Villars regularization is used, although a standard 3D sharp cutoff can be applied as well.

16 pages, 5 figures, extended version, title changed

References in corpus (19)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The transition temperature in QCD
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Critical endpoint in the Polyakov-loop extended NJL model
• Entanglement between deconfinement transition and chiral symmetry restoration
• QCD Thermodynamics from the Lattice
• Polyakov loop extended NJL model with imaginary chemical potential
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Susceptibilities with multi-quark interactions in PNJL model
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Lowering the critical temperature with eight-quark interactions
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• Chiral Symmetry and Heavy-Ion Collisions
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• Polyakov Loop at Finite Temperature in Chiral Quark Models

Cited by in corpus (17)

• Two-solar-mass hybrid stars: a two model description with the Nambu-Jona-Lasinio quark model
• Critical endpoint in the presence of a chiral chemical potential
• Studies of the structure of massive hybrid stars within a modified NJL model
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• Parameter fitting in three-flavor Nambu--Jona-Lasinio model with various regularizations
• Strange quark matter in the presence of explicit symmetry breaking interactions
• 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
• Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• On SU(3) effective models and chiral phase-transition
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• Quark mass effects in the thermodynamical properties of an extended (P)NJL model
• Polyakov-NJL model with eight quark interactions