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.

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

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• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
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Cited by in corpus (3)

• 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
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms