Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles

Abstract

We show that the CJT thermodynamic potential of dynamical quark models with a quark propagator represented by complex conjugate mass poles inevitably exhibits thermodynamic instabilities. We find that the minimal coupling of the quark sector to a Polyakov loop potential can strongly suppress but not completely remove such instabilities. This general effect is explicitly demonstrated in the framework of a covariant, chirally symmetric, effective quark model.

Minor typos corrected, submitted version

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• The nNJL model with a fractional Lorentzian regulator in the real time formalism
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• Thermodynamics of an exactly solvable confining quark model
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
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• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms
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• Gribov horizon, Polyakov loop and finite temperature