Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling

Abstract

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy theorems and basic current algebra relations involving pion properties are shown to be reproduced. The momentum-dependent dynamical quark mass derived from this approach is in agreement with results from Dyson-Schwinger equations and lattice QCD. At finite temperature, inclusion of the Polyakov loop and its gauge invariant coupling to quarks reproduces the dynamical entanglement of the chiral and deconfinement crossover transitions as in the (local) PNJL model, but now without the requirement of introducing an artificial momentum cutoff. Steps beyond the mean-field approximation are made including mesonic correlations through quark-antiquark ring summations. Various quantities of interest (pressure, energy density, speed of sound etc.) are calculated and discussed in comparison with lattice QCD thermodynamics at zero chemical potential. The extension to finite quark chemical potential and the phase diagram in the $(T,\mu )$-plane are also discussed.

25 pages, 10 figures

References in corpus (18)

• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD Equation of State with almost Physical Quark Masses
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Infrared Properties of QCD from Dyson-Schwinger equations
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• 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
• Hadron Properties and Dyson-Schwinger Equations
• 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
• Phase structure, collective modes, and the axial anomaly in dense QCD
• Quark number susceptibilities: lattice QCD versus PNJL model
• PNJL model with a Van der Monde term
• In-medium chiral condensate beyond linear density approximation
• On covariant nonlocal chiral quark models with separable interactions
• Effects of mesonic correlations in the QCD phase transition
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model

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