Quark number susceptibilities: Lattice QCD versus PNJL model

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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“…Various forms of the potential exist in the literature (see e.g. [39,40,75,103,104]). We shall use the form prescribed in [40] which reads as,…”

Section: Pnjl Modelmentioning

confidence: 99%

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

et al. 2017

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“…This method, however, cannot follow smoothly over to the hadronic phase. Another method, the Polyakov-NambuJona-Lasinio (PNJL) model [100][101][102], uses effective fourpoint quark interactions or explicit mesonic degrees of freedom and non-perturbative glueball degrees of freedom in the Polyakov loops. Above we intended to demonstrate only what should happen with the spectral function (and in general any other operator correlation) when passing from the hadronic to the QGP world -without discussing the underlying effective field theory in detail.…”

Section: Particles Spectral Function and Thermodynamicsmentioning

confidence: 99%

Nuclear and quark matter at high temperature

2017

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Abstract.We review important ideas on nuclear and quark matter description on the basis of hightemperature field theory concepts, like resummation, dimensional reduction, interaction scale separation and spectral function modification in media. Statistical and thermodynamical concepts are spotted in the light of these methods concentrating on the -partially still open-problems of the hadronization process.

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“…One can cure this problem by augmenting this effective potential with a logarithmic term to account for the Haar measure in the group integral [46][47][48]. As we will restrict our numerical studies to the case of zero baryochemical potential, we can ignore this issue for the present investigation.…”

Section: B the Modelmentioning

confidence: 99%

Chiral fluid dynamics with explicit propagation of the Polyakov loop

et al. 2013

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We present a fully dynamical model to study nonequilibrium effects in both the chiral and the deconfinement phase transition. The sigma field and the Polyakov loop as the corresponding order parameters are propagated by Langevin equations of motion. The locally thermalized background is provided by a fluid of quarks and antiquarks. Allowing for an exchange of energy and momentum through dissipative and stochastic processes we ensure that the total energy of the coupled system remains conserved. We study its relaxational dynamics in different quench scenarios and are able to observe critical slowing down as well as the enhancement of long wavelength modes at the critical point. During the fluid dynamical expansion of a hot plasma fireball typical nonequilibrium effects like supercooling and domain formation occur when the system evolves through the first order phase transition.

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Quark number susceptibilities: Lattice QCD versus PNJL model

Cited by 108 publications

References 29 publications

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

Nuclear and quark matter at high temperature

Chiral fluid dynamics with explicit propagation of the Polyakov loop

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