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

References in corpus (9)

• 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
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Polyakov loop extended NJL model with imaginary chemical potential
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Electrical neutrality and pion modes in the two flavor PNJL model
• 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