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

Journal Article · Thu Jan 01 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.014022· OSTI ID:21254705

Hell, T; Roessner, S; Cristoforetti, M; Weise, W ^[1]

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1. Physik-Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio 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) Polyakov-loop-extended Nambu and Jona-Lasinio 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.

• OSTI ID: 21254705
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRALITY
CORRELATIONS
COUPLING
ENERGY DENSITY
EQUATIONS
FLAVOR MODEL
GAUGE INVARIANCE
INSTANTONS
LATTICE FIELD THEORY
LOW-ENERGY THEOREM
MEAN-FIELD THEORY
PHASE DIAGRAMS
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM ENTANGLEMENT
QUANTUM FIELD THEORY
SIMULATION
THERMODYNAMICS