Critical endpoint in the Polyakov-loop extended NJL model

Kashiwa, Kouji; Kouno, Hiroaki; Matsuzaki, Masayuki; Yahiro, Masanobu

doi:10.1016/j.physletb.2008.01.075

Cited by 142 publications

(156 citation statements)

References 39 publications

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“…So we must keep µ s = 0 in the calculation according to Eq. (20), but the strange quarks in loop diagrams do contribute to the u, d self energies via a sixpoint interaction, and then they can affect the dynamical mass of u, d quark according to Eq. (13).…”

Section: Nuclear Matter Quark Matter and The Mixed Phasementioning

confidence: 99%

Hadron-quark phase transition in asymmetric matter with dynamical quark masses

et al. 2011

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The two-Equation of State (EoS) model is used to describe the hadron-quark phase transition in asymmetric matter formed at high density in heavy-ion collisions. For the quark phase, the threeflavor Nambu-Jona-Lasinio (NJL) effective theory is used to investigate the influence of dynamical quark mass effects on the phase transition. At variance to the MIT-Bag results, with fixed current quark masses, the main important effect of the chiral dynamics is the appearance of an End-Point for the coexistence zone. We show that a first order hadron-quark phase transition may take place in the region T ⊂ (50 − 80) MeV and ρ B ⊂ (2 − 4) ρ0, which is possible to be probed in the new planned facilities, such as FAIR at GSI-Darmstadt and NICA at JINR-Dubna. From isospin properties of the mixed phase some possible signals are suggested. The importance of chiral symmetry and dynamical quark mass on the hadron-quark phase transition is stressed. The difficulty of an exact location of Critical-End-Point comes from its appearance in a region of competition between chiral symmetry breaking and confinement, where our knowledge of effective QCD theories is still rather uncertain.

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Section: Nuclear Matter Quark Matter and The Mixed Phasementioning

confidence: 99%

Hadron-quark phase transition in asymmetric matter with dynamical quark masses

et al. 2011

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“…The chiral models are widely used to map qualitatively, and to some extent also quantitatively, the phase diagram of strongly interacting matter along several directions like temperature, chemical potential, isospin chemical potential and external fields [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It is thus interesting to use these models to compute other quantities, which are related to the QCD vacuum condensates.…”

Section: Introductionmentioning

confidence: 99%

Magnetic susceptibility of the quark condensate and polarization from chiral models

Frasca¹,

Ruggieri

2011

Phys. Rev. D

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We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat self-consistently the spontaneous breaking of chiral symmetry: the linear σ−model coupled to quarks, dubbed quark-meson model, and the Nambu-Jona-Lasinio model. We also perform analytic estimates of the same quantities within the renormalized quarkmeson model, both in the regimes of weak and strong fields. Our numerical results are in agreement with the recent literature; moreover, we confirm previous Lattice findings, related to the saturation of the polarization at large fields.

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“…Thermodynamic Potential 2+1 flavor PNJL model with unbound effective potential has been studied elaborately in a number of recent works [15,16,20,23]. To introduce a bound in the effective potential eight quark interaction terms have been introduced in 2+1 flavor NJL model [24][25][26][27] and in the 2 flavor PNJL model [28,29]. We developed the 2+1 flavor PNJL model with bound effective potential to study finite temperature and chemical potential properties [30] within three-momentum cutoff regularization scheme.…”

Section: Formalismmentioning

confidence: 99%

“…Meanwhile one can look into the properties of strongly interacting matter through effective models of QCD. Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model is one such model that successfully captures various properties of strongly interacting matter [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The question as to exactly what extent can this model emulate QCD is still a matter under investigation.…”

Section: Introductionmentioning

confidence: 99%

Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions

et al. 2011

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We present a study of correlations among conserved charges like baryon number, electric charge and strangeness in the framework of 2+1 flavor Polyakov loop extended Nambu-Jona-Lasinio model at vanishing chemical potentials, up to fourth order. Correlations up to second order have been measured in Lattice QCD which compares well with our estimates given the inherent difference in the pion masses in the two systems. Possible physical implications of these correlations and their importance in understanding the matter obtained in heavy-ion collisions are discussed. We also present comparison of the results with the commonly used unbound effective potential in the quark sector of this model.

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Critical endpoint in the Polyakov-loop extended NJL model

Cited by 142 publications

References 39 publications

Hadron-quark phase transition in asymmetric matter with dynamical quark masses

Hadron-quark phase transition in asymmetric matter with dynamical quark masses

Magnetic susceptibility of the quark condensate and polarization from chiral models

Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions

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