Vector-type four-quark interaction and its impact on QCD phase structure

Abstract

Effects of the vector-type four-quark interaction on QCD phase structure are investigated in the imaginary chemical potential region, by using the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the extended Z3 symmetry. In the course to this end, we clarify analytically the Roberge-Weiss periodicity and symmetry properties of various quantities under the existence of a vector-type four-quark interaction. In the imaginary chemical potential region, the chiral condensate and the quark number density are sensitive to the strength of the interaction. Based on this result, we propose a possibility to determine the strength of the vector-type interaction, which largely affects QCD phase structure in the real chemical potential region, by comparing the results of lattice simulations and effective model calculations in the imaginary chemical potential region.

8 pages, 11 figures

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Cited by in corpus (37)

• The phase diagram of dense QCD
• Entanglement between deconfinement transition and chiral symmetry restoration
• Critical surface in hot and dense QCD with the vector interaction
• Determination of QCD phase diagram from the imaginary chemical potential region
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Roberge-Weiss phase transition and its endpoint
• QCD phase diagram at finite baryon and isospin chemical potentials
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• 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
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Equation of state in the PNJL model with the entanglement interaction
• Theta vacuum effects on QCD phase diagram
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Correlations among discontinuities in QCD phase diagram
• Meson mass at real and imaginary chemical potentials
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• The Roberge-Weiss transition and 't Hooft loops
• 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
• Average phase factor in the PNJL model
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Investigation of meson masses for real and imaginary chemical potential
• An effective field theory for warm QCD
• A PNJL model in 0+1 Dimensions
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• A chiral random matrix model with 2+1 flavors at finite temperature and density
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Roberge-Weiss phase transitions and extended Z3 symmetry