Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential

Abstract

The phase structure of the two-flavor Polyakov-loop extended Nambu-Jona-Lashinio model is explored at finite temperature and imaginary chemical potential with a particular emphasis on the confinement-deconfinement transition. We point out that the confined phase is characterized by a $\cos 3{\mu }_I/T$ dependence of the chiral condensate on the imaginary chemical potential while in the deconfined phase this dependence is given by $\cos {\mu }_I/T$ and accompanied by a cusp structure induced by the Z(3) transition. We demonstrate that the phase structure of the model strongly depends on the choice of the Polyakov loop potential $\mathcal{U}$. Furthermore, we find that by changing the four fermion coupling constant $G_s$, the location of the critical endpoint of the deconfinement transition can be moved into the real chemical potential region. We propose a new parameter characterizing the confinement-deconfinement transition.

16 pages, 17 figures, to appear in Phys.Rev.D

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Cited by in corpus (24)

• Polyakov loop modeling for hot QCD
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Phase diagram of Yang-Mills theories in the presence of a theta term
• An effective gluon potential and hybrid approach to Yang-Mills thermodynamics
• Confinement and Z_3 symmetry in three-flavor QCD
• Net quark number probability distribution near the chiral crossover transition
• Anomaly matching in QCD thermal phase transition
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• The Roberge-Weiss transition and 't Hooft loops
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Fourier coefficients of the net-baryon number density and chiral criticality
• Thermodynamics of strongly interacting matter in a hybrid model
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Consistent approach to study gluon quasi-particles
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model