The order of the Roberge-Weiss endpoint (finite size transition) in QCD

Abstract

We consider the endpoint of the Roberge-Weiss (RW) first order transition line present for imaginary baryon chemical potentials. We remark that it coincides with the finite size transition relevant in the context of large $N_c$ QCD and study its order in the theory with two degenerate flavors. The RW endpoint is first order in the limit of large and small quark masses, while it weakens for intermediate masses where it is likely in the Ising 3d universality class. Phenomenological implications and further speculations about the QCD phase diagram are discussed.

5 pages, 8 figures. Version accepted for publication in Physical Review D (R)

References in corpus (12)

• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• (In)validity of large N orientifold equivalence
• Analytic continuation of the critical line: suggestions for QCD
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Roberge-Weiss phase transition and its endpoint
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Imaginary chemical potentials and the phase of the fermionic determinant
• Baryon currents in QCD with compact dimensions
• More about QCD on compact spaces
• Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge theories

Cited by in corpus (75)

• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Finite-density lattice QCD and sign problem: current status and open problems
• Introductory lectures on lattice QCD at nonzero baryon number
• Entanglement between deconfinement transition and chiral symmetry restoration
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Hot Quark Matter with an Axial Chemical Potential
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Complex Langevin dynamics and other approaches at finite chemical potential
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• The Roberge-Weiss endpoint in N_f = 2 QCD
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Curvature of the chiral pseudo-critical line in QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Phase diagram of Yang-Mills theories in the presence of a theta term
• The nature of the Roberge-Weiss transition in $N_f=2$ QCD with Wilson fermions
• 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
• The phase diagram of QCD with four degenerate quarks
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Anomaly matching in QCD thermal phase transition
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Equation of state in the PNJL model with the entanglement interaction
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Wilson fermions and $N_{\tau }=6$
• Holographic Roberge-Weiss Transitions
• Theta vacuum effects on QCD phase diagram
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Towards the chiral phase transition in the Roberge-Weiss plane
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Quark number holonomy and confinement-deconfinement transition
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• 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
• Nature of the Roberge-Weiss transition end points in two-flavor lattice QCD with Wilson quarks
• Topological deconfinement transition in QCD at finite isospin density
• The three-dimensional, three state Potts model in a negative external field
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Effective model approach to meson screening masses at finite temperature
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Status of the QCD phase diagram from lattice calculations
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Towards extremely dense matter on the lattice
• Phase diagram of the 4D U(1) model at finite temperature
• Phase structure of compactified $SU(N)$ gauge theories in magnetic backgrounds
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• The chiral phase transition for two-flavour QCD at imaginary and zero chemical potential
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Two-flavor QCD at finite quark or isospin density
• 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
• QCD at non-zero temperature and magnetic field
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Constraints for the QCD phase diagram from imaginary chemical potential
• QCD at imaginary chemical potential with Wilson fermions