Roberge-Weiss phase transition and its endpoint

Abstract

The Roberge-Weiss (RW) phase transition in the imaginary chemical potential region is analyzed by the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. In the RW phase transition, the charge-conjugation symmetry is spontaneously broken, while the extended Z3 symmetry (the RW periodicity) is preserved. The RW transition is of second order at the endpoint. At the zero chemical potential, a crossover deconfinement transition appears as a remnant of the second-order RW phase transition at the endpoint, while the charge-conjugation symmetry is always preserved.

24 pages, 19 figures. Journal version. Some sentences have been revised and added. Fig. 9 has been revised. (New panels have been added.)

References in corpus (23)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• 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
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Polyakov loop extended NJL model with imaginary chemical potential
• Model study of the sign problem in the mean-field approximation
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Determination of QCD phase diagram from the imaginary chemical potential region
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Electrical neutrality and pion modes in the two flavor PNJL model
• Vector-type four-quark interaction and its impact on QCD phase structure
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Correlations among discontinuities in QCD phase diagram
• Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model

Cited by in corpus (45)

• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Entanglement between deconfinement transition and chiral symmetry restoration
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Phase diagram of Yang-Mills theories in the presence of a theta term
• QCD phase diagram at finite baryon and isospin chemical potentials
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Confinement and Z_3 symmetry in three-flavor QCD
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Anomaly matching in QCD thermal phase transition
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Equation of state in the PNJL model with the entanglement interaction
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Holographic Roberge-Weiss Transitions
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Color screening potential at finite density in two-flavor lattice QCD with Wilson fermions
• The Roberge-Weiss transition and 't Hooft loops
• Topological feature and phase structure of QCD at complex chemical potential
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Average phase factor in the PNJL model
• Nature of the Roberge-Weiss transition end points in two-flavor lattice QCD with Wilson quarks
• The three-dimensional, three state Potts model in a negative external field
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• 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
• Impact of vector-current interactions on the QCD phase diagram
• 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
• Investigation of meson masses for real and imaginary chemical potential
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Extrapolation for meson screening masses from imaginary to real chemical potential