Equation of state and transition temperatures in the quark-hadron hybrid model

Miyahara, Akihisa; Kouno, Hiroaki; Yahiro, Masanobu

doi:10.1103/physrevd.94.016003

Cited by 14 publications

(22 citation statements)

References 41 publications

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“…With the development of the highly improved quark action, it now seems that the Polyakov loop grows very gradually [22,23]. An effective model analysis of recent lattice data implies that the deconfinement pseudocritical temperature (∼215 MeV) is substantially higher than the chiral pseudocritical temperature [24]. By comparison, a recent lattice determination of the RW endpoint temperature with physical quark masses implies that the continuum extrapolated value of T RW is 208(5) MeV [25].…”

Section: Discussionmentioning

confidence: 99%

Quark number holonomy and confinement-deconfinement transition

Kashiwa

Ohnishi

2016

Phys. Rev. D

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We propose a new quantity which describes the confinement-deconfinement transition based on topological properties of QCD. The quantity which we call the quark number holonomy is defined as the integral of the quark number susceptibility along the closed loop of θ where θ is the dimensionless imaginary chemical potential. The expected behavior of the quark number holonomy at finite temperature is discussed, and its asymptotic behaviors are shown.

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Section: Discussionmentioning

confidence: 99%

Quark number holonomy and confinement-deconfinement transition

Kashiwa

Ohnishi

2016

Phys. Rev. D

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“…Let us now discuss the framework in which the hadronic matter described using the HRG model can be smoothly switched to partonic matter modelled through the PNJL one. The basic procedure is similar to the ones reported in [146][147][148][149][150]. The pressure of the system as taken to be a sum of partial pressures of the hadronic and partonic matter, weighted with a switching function as,…”

Section: Coupling the Hadronic And Partonic Sectorsmentioning

confidence: 99%

Thermodynamics of strongly interacting matter in a hybrid model

et al. 2019

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The equation of state and fluctuations of conserved charges in a strongly interacting medium under equilibrium conditions form the baseline upon which various possible scenarios in relativistic heavyion collision experiments are built. Many of these quantities have been obtained in the lattice QCD framework with reliable continuum extrapolations. Recently the Polyakov−Nambu−Jona-Lasinio model has been reparametrized to some extent to reproduce quantitatively the lattice QCD equation of state at vanishing chemical potentials. The agreement was precise except at low temperatures, possibly due to inadequate representation of the hadronic degrees of freedom in the model. This disagreement was also observed for some of the fluctuation and correlations considered. Here we address this issue by introducing the effects of hadrons through the Hadron Resonance Gas model. The total thermodynamic potential is now a weighted sum of the thermodynamic potential of the Polyakov−Nambu−Jona-Lasinio model and that of the Hadron Resonance Gas model. We find that the equation of state and the fluctuations and correlations obtained in this hybrid model agrees satisfactorily with the lattice QCD data in the low temperature regime.

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“…The Polyakov-line (loop) [26] is defined as an exact order parameter of the confinement-deconfinement transition. However, in full QCD with dynamical quarks, Z 3 symmetry is not exact anymore, and it is not trivial that the Polyakov line is an order parameter for the confinement-deconfinement transition [27]. In order to study the relation between the confinement-deconfinement transition and the Polyakov line, Z 3 -symmetric QCD-like theory was proposed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Sign problem in a Z3 -symmetric effective Polyakov-line model

et al. 2017

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As an effective model corresponding to Z3-symmetric QCD (Z3-QCD), we construct a Z3-symmetric effective Polyakov-line model (Z3-EPLM) by using the logarithmic fermion effective action. Since Z3-QCD tends to QCD in the zero-temperature limit, Z3-EPLM also agrees with the ordinary effective Polyakov-line model (EPLM) there; note that (ordinary) EPLM does not possess Z3 symmetry. Our main purpose is to discuss a sign problem appearing in Z3-EPLM. The action of Z3-EPLM is real, when the Polyakov line is not only real but also its Z3 images. This suggests that the sign problem becomes milder in Z3-EPLM than in EPLM. In order to confirm this suggestion, we do lattice simulations for both EPLM and Z3-EPLM by using the reweighting method with the phase quenched approximation. In the low-temperature region, the sign problem is milder in Z3-EPLM than in EPLM. We also propose a new reweighting method. This makes the sign problem very weak in Z3-EPLM.

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Equation of state and transition temperatures in the quark-hadron hybrid model

Cited by 14 publications

References 41 publications

Quark number holonomy and confinement-deconfinement transition

Quark number holonomy and confinement-deconfinement transition

Thermodynamics of strongly interacting matter in a hybrid model

Sign problem in a Z3 -symmetric effective Polyakov-line model

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