Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-loop extended Nambu-Jona-Lasinio model

Junpei Sugano, Junichi Takahashi, Masahiro Ishii, Hiroaki Kouno, Masanobu Yahiro

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We determine the strength Gv of the vector-type four-quark interaction in the entanglement Polyakov-loop extended Nambu-Jona-Lasinio (EPNJL) model from the results of recent lattice QCD simulations with two-flavor Wilson fermion. The quark number density is normalized by the Stefan-Boltzmann limit. The strength determined from the normalized quark number density at small baryon chemical potential μ and temperature T (which is higher than the pseudocritical temperature Tc of the deconfinement transition) is Gv=0.33Gs, where Gs is the strength of the scalar-type four-quark interaction. We explore the hadron-quark phase transition in the μ-T plane by using the two-phase model in which the quantum hadrodynamics model is used for the hadron phase and the EPNJL model is used for the quark phase. When Gv=0.33Gs, the critical baryon chemical potential of the transition at zero T is μc∼1.6GeV, which accounts for two-solar-mass measurements of neutron stars in the framework of the hadron-quark hybrid star model.

Original languageEnglish
Article number037901
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number3
DOIs
Publication statusPublished - Aug 18 2014

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quarks
interactions
baryons
neutron stars
quantum chromodynamics
fermions
scalars
stars
temperature
simulation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-loop extended Nambu-Jona-Lasinio model. / Sugano, Junpei; Takahashi, Junichi; Ishii, Masahiro; Kouno, Hiroaki; Yahiro, Masanobu.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 90, No. 3, 037901, 18.08.2014.

Research output: Contribution to journalArticle

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AU - Kouno, Hiroaki

AU - Yahiro, Masanobu

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N2 - We determine the strength Gv of the vector-type four-quark interaction in the entanglement Polyakov-loop extended Nambu-Jona-Lasinio (EPNJL) model from the results of recent lattice QCD simulations with two-flavor Wilson fermion. The quark number density is normalized by the Stefan-Boltzmann limit. The strength determined from the normalized quark number density at small baryon chemical potential μ and temperature T (which is higher than the pseudocritical temperature Tc of the deconfinement transition) is Gv=0.33Gs, where Gs is the strength of the scalar-type four-quark interaction. We explore the hadron-quark phase transition in the μ-T plane by using the two-phase model in which the quantum hadrodynamics model is used for the hadron phase and the EPNJL model is used for the quark phase. When Gv=0.33Gs, the critical baryon chemical potential of the transition at zero T is μc∼1.6GeV, which accounts for two-solar-mass measurements of neutron stars in the framework of the hadron-quark hybrid star model.

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