Thermal nonlocal Nambu--Jona-Lasinio model in the real time formalism

Abstract

The real-time formalism at finite temperature and chemical potential for the nonlocal Nambu--Jona-Lasinio model is developed in the presence of a Gaussian covariant regulator. We construct the most general thermal propagator, by means of the spectral function. As a result, the model involves the propagation of massive quasiparticles. The appearance of complex poles is interpreted as a confinement signal, and in this case we have unstable quasiparticles with a finite decay width. An expression for the propagator along the critical line, where complex poles start to appear, is also obtained. A generalization to other covariant regulators is proposed.

arXiv comment9 pages, 5 figures, minor changes, to appear in Phys. Rev. D

References in corpus (26)

• NJL-model analysis of dense quark matter
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Chiral effective model with the Polyakov loop
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• A nonlocal, covariant generalisation of the NJL model
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Meson properties in an extended nonlocal NJL model
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• On covariant nonlocal chiral quark models with separable interactions
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• Chiral quark models with non-local separable interactions at finite temperature and chemical potential
• Finite T meson correlations and quark deconfinement
• Meson properties at finite temperature in a three flavor nonlocal chiral quark model with Polyakov loop
• Phase diagram of neutral quark matter in nonlocal chiral quark models
• Chiral phase transition in a covariant nonlocal NJL model
• Quark mass and isospin dependence of the deconfining critical temperature
• Effects of mesonic correlations in the QCD phase transition
• Thermal Behaviour of $\pi -\pi$ Scattering Lengths in the Nambu--Jona-Lasinio model
• SU(2)xSU(2) nonlocal quark model with confinement
• Massless fermions in a bag at finite density and temperature
• Finite density and temperature in hybrid bag models

Cited by in corpus (7)

• Chiral symmetry restoration and deconfinement in QCD at finite temperature
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• The nNJL model with a fractional Lorentzian regulator in the real time formalism
• Unstable quasiparticles as a source of thermodynamic instabilities in the thermal nonlocal Nambu-Jona-Lasinio model
• Critical end point in a thermo-magnetic nonlocal NJL model
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms