Investigation of the phase diagram and bulk thermodynamic properties using the Polyakov–Nambu–Jona-Lasinio model with eight-quark interactions

Bhattacharyya, Abhijit; Deb, Paramita; Ghosh, S. K.; Ray, Rajarshi

doi:10.1103/physrevd.82.014021

Cited by 70 publications

(72 citation statements)

References 28 publications

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“…In addition to lattice QCD and HTLpt, there are also various model calculations on the market. For example, the Nambu-Jona-Lasinio (NJL) [68,69], Polyakov-loop extended NambuJona-Lasinio (PNJL) [70][71][72][73][74][75][76][77][78][79][80], quasi-particle models [81][82][83][84][85], Polyakov-loop extended quark meson (PQM) model [86][87][88] have been used to calculate various thermodynamic functions. There have also been works which apply Pade and Borel-Pade methods to the perturbative QCD pressure [90][91][92].…”

Section: Jhep05(2014)027mentioning

confidence: 99%

Three-loop HTLpt thermodynamics at finite temperature and chemical potential

Haque

Bandyopadhyay

Andersen

et al. 2014

J. High Energ. Phys.

214

181

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We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic thermodynamic potential allows us to compute the pressure, energy density, and entropy density of the quark-gluon plasma. Using these we calculate the trace anomaly, speed of sound, and second-, fourth-, and sixth-order quark number susceptibilities. For all observables considered we find good agreement between our three-loop HTLpt calculations and available lattice data for temperatures above approximately 300 MeV.

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Section: Jhep05(2014)027mentioning

confidence: 99%

Three-loop HTLpt thermodynamics at finite temperature and chemical potential

Haque

Bandyopadhyay

Andersen

et al. 2014

J. High Energ. Phys.

214

181

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“…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. Comparing with available LQCD data the model was shown to reproduce various aspects of QCD thermodynamics quite satisfactorily.…”

Section: Formalismmentioning

confidence: 99%

“…In the above expression, the vacuum part integral has a ultraviolet cutoff Λ. For fixing the parameters m s , Λ, g S , g D , g 1 , g 2 we have used the following physical conditions [30]; …”

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%

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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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“…We safely assume that neutrino gets enough time to leave the system; µ ν = 0. The thermodynamic potential of 2+1 flavor PNJL model for non-zero quark chemical potential is (Bhattacharyya et al, 2010)…”

Section: Formalismmentioning

confidence: 99%