Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters

Abstract

We study the relation between the continuum threshold as function of the temperature $s_0(T)$ within finite energy sum rules and the trace of the Polyakov loop $\Phi$ in the framework of a nonlocal SU(2) chiral quark model, establishing a contact between both deconfinement order parameters at finite temperature $T$ and chemical potential $\mu$. In our analysis, we also include the order parameter for the chiral symmetry restoration, the chiral quark condensate. We found that $s_0$ and $\Phi$ providing us the same information for the deconfinement transition, both for the zero and finite chemical potential cases. At zero density, the critical temperatures for both quantities coincide exactly and, at finite $\mu$ both order parameters provide evidence for the appearance of a quarkyonic phase.

9 pages, 3 figures

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• Recent Progress in QCD Condensate Evaluations and Sum Rules
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Superstatistics and the effective QCD phase diagram
• QCD determination of the magnetic field dependence of QCD and hadronic parameters
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• The continuum threshold and the Polyakov loop: A comparison between two deconfinement order parameters