PNJL model with a Van der Monde term

Abstract

We extend the Polyakov-Nambu-Jona-Lasinio (PNJL) model for two degenerate flavours by including the effect of the SU(3) measure with a Van der Monde (VdM) term. This ensures that the Polyakov loop always remains in the domain [0,1]. The pressure, energy density, specific heat, speed of sound and conformal measure show small or negligible effects from this term. However various quark number and isospin susceptibilities are all found to approach their respective ideal gas limits around 2 $T_c$. We compare our methods with other similar approaches in PNJL model and also present a quantitative comparison with Lattice QCD data.

12 pages, 8 eps figures; extended discussion and reference added; accepted in Phys. Rev. D

References in corpus (32)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• The Pressure in 2, 2+1 and 3 Flavour QCD
• The transition temperature in QCD
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models 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
• Phenomenological Equations of State for the Quark-Gluon Plasma
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Quark number susceptibilities: lattice QCD versus PNJL model
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• Scaling in SU(3) Pure Gauge Theory with a Renormalization Group Improved Action
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Matrix Models and QCD with Chemical Potential
• String Tension and Thermodynamics with Tree Level and Tadpole Improved Actions
• Power corrections in the quark-antiquark potential at finite temperature
• Thermodynamics of SU(3) gauge theory on anisotropic lattices
• Coupling the Deconfining and Chiral Transitions

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