Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential

Abstract

With the aim of setting constraints for the modeling of the QCD phase diagram, the phase structure of the two-flavor Polyakov-loop extended Nambu and Jona-Lasinio (PNJL) model is investigated in the range of imaginary chemical potentials (${\mu }_{\mathrm{I}}$) and compared with available $N_f=2$ lattice QCD results. The calculations are performed using the advanced nonlocal version of the PNJL model with the inclusion of vector-type quasiparticle interactions between quarks, and with wave-function-renormalization corrections. It is demonstrated that the nonlocal PNJL model reproduces important features of QCD at finite ${\mu }_{\mathrm{I}}$, such as the Roberge-Weiss (RW) periodicity and the RW transition. Chiral and deconfinement transition temperatures for $N_f=2$ turn out to coincide both at zero chemical potential and at finite ${\mu }_{\mathrm{I}}$. Detailed studies are performed concerning the RW endpoint and its neighborhood where a first-order transition occurs.

26 page, 13 figure, typo corrected, some references added and corrected, one figure updated, version accepted for publication in Phys. Rev. D

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Cited by in corpus (49)

• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Quark deconfinement in high-mass neutron stars
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• Improved Polyakov-loop potential for effective models from functional calculations
• 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
• Quark-hybrid matter in the cores of massive neutron stars
• The Constant-Sound-Speed parameterization for NJL models of quark matter in hybrid stars
• 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
• Broken SU(6) symmetry and massive hybrid stars
• Polyakov loop and QCD thermodynamics from the gluon and ghost propagators
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Confinement and Z_3 symmetry in three-flavor QCD
• Anomaly matching in QCD thermal phase transition
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Isoscalar-vector interaction and hybrid quark core in massive neutron stars
• Interacting $ud$ and $uds$ quark matter at finite densities and quark stars
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Role of vector channel in different classes of (non) magnetized neutron stars
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Strong magnetic fields in nonlocal chiral quark models
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• Thermal evolution of hybrid stars within the framework of a nonlocal Nambu--Jona-Lasinio model
• Nuclear chiral dynamics and phases of QCD
• Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Impact of the vector interaction on the phase structure of QCD matter
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• 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
• Hybrid stars with reactive interfaces: analysis within the Nambu-Jona-Lasinio model
• Impact of vector-current interactions on the QCD phase diagram
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• SU(2) higher-order effective quark interactions from polarization
• Two-flavor color superconducting quark stars may not exist
• Thermodynamical phases in a PNJL model at zero temperature
• Equation of state and transition temperatures in the quark-hadron hybrid model
• Asymptotically conformal CFL quark matter within a nonlocal chiral quark model
• Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems
• Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line