Effects of Model Parameters in Thermodynamics of the PNJL Model

Friesen, A. V.; Kalinovsky, Yu. L.; Тонеев, В.Д.

doi:10.1142/s0217751x12500133

Cited by 20 publications

(20 citation statements)

References 26 publications

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“…In ref. [73][74][75][76][77][78][79][80][81][82][83][84][85], the authors have discussed behavioral pattern of different observables as extracted from the PNJL model. The QCD phase structure has also been investigated for imaginary chemical potentials in ref.…”

Section: Introductionmentioning

confidence: 99%

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

et al. 2017

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The Polyakov−Nambu−Jona-Lasinio model has been quite successful in describing various qualitative features of observables for strongly interacting matter, that are measurable in heavy-ion collision experiments. The question still remains on the quantitative uncertainties in the model results. Such an estimation is possible only by contrasting these results with those obtained from first principles using the lattice QCD framework. Recently a variety of lattice QCD data were reported in the realistic continuum limit. Here we make a first attempt at reparametrizing the model so as to reproduce these lattice data. We find excellent quantitative agreement for the equation of state. Certain discrepancies in the charge and strangeness susceptibilities as well as baryon-charge correlation still remain. We discuss their causes and outline possible directions to remove them.

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Section: Introductionmentioning

confidence: 99%

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

et al. 2017

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“…QCD phase transitions for vanishing and nonvanishing baryon chemical potential have been studied in great detail and the possible phases that may arise in the phase diagram have been addressed [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. Similar studies were also carried out for imaginary chemical potential [46][47][48] and the well-known Roberge-Weiss periodicity is discussed in that context.…”

Section: Introductionmentioning

confidence: 99%

Quark number susceptibility: Revisited with fluctuation-dissipation theorem in mean field theories

et al. 2014

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Fluctuations of conserved quantum numbers are associated with the corresponding susceptibilities because of the symmetry of the system. The underlying fact is that these fluctuations as defined through the static correlators become identical to the direct calculation of these susceptibilities defined through the thermodynamic derivatives, due to the fluctuation-dissipation theorem. Through a rigorous exercise we explicitly show that a diagrammatic calculation of the static correlators associated with the conserved quark number fluctuations and the corresponding susceptibilities are possible in the case of mean field theories, if the implicit dependence of the mean fields on the quark chemical potential are taken into account appropriately. As an aside we also give an analytical prescription for obtaining the implicit dependence of the mean fields on the quark chemical potential.

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“…Thermodynamical properties of hadronic or partonic matter at finite temperature T and/or chemical potential μ q involve large-distance interactions and can rigorously only be addressed by lattice QCD (predominantly at vanishing chemical potential) in Euclidean space. Alternatively, one might employ effective field theories that share the symmetry properties of QCD and fix the couplings to reproduce field expectation values and correlators [1][2][3][4][5][6][7][8][9][10][11]. In fact, the knowledge about the phase diagram of strongly interacting hadronic/partonic matter has been increased substantially in the last decades.…”

Section: Introductionmentioning

confidence: 99%

Microcausality in strongly interacting fields

Rauber

Cassing

2014

Phys. Rev. D

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We study the properties of strongly interacting massive quantum fields in space-time as resulting from a parametric decay of the fields with a large decay width $\gamma$. The resulting imaginary part of the retarded and advanced propagators in this case is of Lorentzian form and the theory conserves microcausality, i.e. the commutator between the fields vanishes for space-like distances in space-time. However, when considering separately space-like and time-like components of the spectral function in momentum space we find microcausality to be violated for each component separately. This implies that the modeling of effective field theories for strongly interacting systems has to be considered with great care and restrictions to time-like four momenta in case of broad spectral functions have to be ruled out. Furthermore, when employing effective propagators with a width $\gamma({\bf p}^2)$ depending explicitly on three-momentum ${\bf p}$ the commutator of the fields no longer vanishes for $r>t$ since the related field theory becomes nonlocal and violates microcausality.Comment: 7 pages, 5 figures, submitted to Phys. Rev.

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Effects of Model Parameters in Thermodynamics of the PNJL Model

Cited by 20 publications

References 26 publications

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

Quark number susceptibility: Revisited with fluctuation-dissipation theorem in mean field theories

Microcausality in strongly interacting fields

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