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

References in corpus (14)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Quark number susceptibilities: lattice QCD versus PNJL model
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• Effects of mesonic correlations in the QCD phase transition
• Heavy-light quark pseudoscalar and vector mesons at finite temperature
• (Pseudo)Scalar Charmonium in Finite Temperature QCD

Cited by in corpus (1)

• The continuum threshold and the Polyakov loop: A comparison between two deconfinement order parameters