Phase diagram in the imaginary chemical potential region and extended Z3 symmetry

Abstract

Phase transitions in the imaginary chemical potential region are studied by the Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model that possesses the extended Z3 symmetry. The extended Z3 invariant quantities such as the partition function, the chiral condensate and the modifed Polyakov loop have the Roberge-Weiss (RW) periodicity. There appear four types of phase transitions; deconfinement, chiral, Polykov-loop RW and chiral RW transitions. The orders of the chiral and deconfinement transitions depend on the presence or absence of current quark mass, but those of the Polykov-loop RW and chiral RW transitions do not. The scalar-type eightquark interaction newly added in the model makes the chiral transition line shift to the vicinity of the deconfiment transition line.

22 pages,17 figures

References in corpus (18)

• The Phase Structure of the Polyakov--Quark-Meson Model
• The transition temperature in QCD
• 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
• Thermodynamics of the PNJL model
• Finite density QCD with a canonical approach
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• 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
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Lowering the critical temperature with eight-quark interactions
• Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model
• OZI violating eight-quark interactions as a thermometer for chiral transitions

Cited by in corpus (18)

• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• How Wide is the Transition to Deconfinement?
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Determination of QCD phase diagram from the imaginary chemical potential region
• QCD phase diagram at finite baryon and isospin chemical potentials
• Vector-type four-quark interaction and its impact on QCD phase structure
• Unruh effect for fermions from the Zubarev density operator
• Number of the QCD critical points with neutral color superconductivity
• Correlations among discontinuities in QCD phase diagram
• Average phase factor in the PNJL model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Investigation of meson masses for real and imaginary chemical potential
• A PNJL model in 0+1 Dimensions
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• NJL with eight quark interactions: Chiral phases at finite T