The quarkynic phase and the Z_{Nc} symmetry

Abstract

We investigate the interplay between the Z_{Nc} symmetry and the emergence of the quarkyonic phase, adding the flavor-dependent complex chemical potentials μ_f=μ+iTθ_f with (θ_f)=(0, θ, -θ) to the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. When θ=0, the PNJL model with the μ_f agrees with the standard PNJL model with the real chemical potential μ. When θ=2π/3, meanwhile, the PNJL model with the μ_f has the Z_{Nc} symmetry exactly for any real μ, so that the quarkyonic phase exists at small T and large μ. Once θvaries from 2π/3, the quarkyonic phase exists only on a line of T=0 and μlarger than the dynamical quark mass, and the region at small T and large μis dominated by the quarkyonic-like phase in which the Polyakov loop is small but finite.

arXiv comment5 pages, 6 figures

References in corpus (32)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Phases of Dense Quarks at Large N_c
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• How many phases meet at the chiral critical point?
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Quarkyonic Matter and Chiral Symmetry Breaking
• Baryons and the phase diagram for a large number of colors and flavors
• Thermodynamics of the PNJL model
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Critical endpoint in the Polyakov-loop extended NJL model
• Entanglement between deconfinement transition and chiral symmetry restoration
• Two-point functions for SU(3) Polyakov Loops near T_c
• Polyakov loop extended NJL model with imaginary chemical potential
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• Equation of state in the PNJL model with the entanglement interaction
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• A large-$N_c$ PNJL model with explicit Z${}_{N_c}$ symmetry
• Investigation of meson masses for real and imaginary chemical potential

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• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Recent progress in understanding deconfinement and chiral restoration phase transitions
• Finite-temperature phase transition of $N_f=3$ QCD with exact center symmetry
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Phase structure and Hosotani mechanism in QCD-like theory with compact dimensions
• A simple model with Z_N symmetry