Susceptibilities and speed of sound from the Polyakov-Nambu-Jona-Lasinio model

Ghosh, S. K.; Mukherjee, Tamal; Mustafa, Munshi G.; Ray, Rajarshi

doi:10.1103/physrevd.73.114007

Cited by 217 publications

(130 citation statements)

References 120 publications

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“…It has often been shown to reproduce many general features of lattice results at µ B = 0 [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, Email address: steinheimer@th.physik.uni-frankfurt.de (J. Steinheimer) 4, 18,19,20,21,22,23,24,25,26,27,28]. In our comparison we will use a very basic parametrization of the two-flavor PNJL model and extend it to incorporate a repulsive vector interaction.…”

Section: The Pnjl Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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We calculate the 2nd and 4th order quark number susceptibilities at zero baryochemical potential, using a PNJL approach and an approach which includes, in a single model, quark and hadronic degrees of freedom. We observe that the susceptibilities are very sensitive to possible quark-quark vector interactions. Compared to lattice data our results suggest that above T c any mean field type of repulsive vector interaction can be excluded from model calculations. Below T c our results show only very weak sensitivity on the strength of the quark and hadronic vector interaction. The best description of lattice data around T c is obtained for a case of coexistence of hadronic and quark degrees of freedom .Many recent experimental programs in heavy ion physics, e.g. at the relativistic heavy ion collider and the planned FAIR facility, are aimed at a better understanding of bulk properties of QCD matter. In particular the experimental confirmation of the deconfinement and chiral phase transitions as well as the search for the critical end point (CeP) are of great interest to the community. Lattice results at µ B = 0 suggest that both phase transitions exhibit a smooth crossover. Suffering from the so called sign problem at finite baryo chemical potential, lattice studies have so far not been able to constitute a consistent picture of the phase diagram and the existence of the CeP [1,2]. While a Taylor expansion of lattice results at µ b = 0 predict the existence of a critical end point these results may strongly depend on the order to which the Taylor coefficients can be evaluated [3]. Lattice calculations at imaginary chemical potential on the other hand show no indication for a CeP, though these calculations are done on on a coarse lattice with a fermion action that is known to have large discretization errors. Other studies trying to locate the CeP often rely on the applicability of various effective models where CeP's existence and location seems very sensitive on the vector coupling strength at and below T c [4]. The PNJL modelThe PNJL model was introduced in [5,6] as an effective chiral quasi-quark model that incorporates a mean field like coupling to a color background field. It has often been shown to reproduce many general features of lattice results at µ B = 0 [7,

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Section: The Pnjl Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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“…To explore the influence of nonzero baryon chemical potential on the thermodynamics, we employ the Taylor expansion in µ/T around µ = 0 applied in LGT [1] and in model calculations [32,33]. In particular, we obtain the expansion of the thermodynamic pressure,…”

Section: A Quark-number Fluctuationsmentioning

confidence: 99%

Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model

et al. 2010

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Thermodynamics of the Polyakov-loop-extended two-flavor chiral quark-meson model (PQM) is explored. The analysis of the PQM model is based on the functional renormalization group method. An appropriate truncation of the effective action with quarks coupled to background gluonic fields is introduced. Within this scheme, we derive the renormalization group flow equation for the scale-dependent thermodynamic potential at finite temperature and density in the presence of a symmetry breaking external field. The influence of fluctuations and of the background gluon field on the properties of net-quark number density fluctuations and their higher moments is explored. We study the dependence of the kurtosis of quark-number fluctuations on the pion mass and show that, in the presence of a symmetry-breaking term, the fluctuations lead to a smoothing of observables near the crossover transition.

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“…In order to obtain a unified picture of confinement and chiral symmetry breaking several effective chiral models have been studied [1,2,3,4,5,6,7,8,9]. Recently an extension of the Nambu-Jona-Lasinio (NJL) model [10,11] was proposed and developed [2,3,5,12,13,14,15] to address this question.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, it was shown [5,12,13,14] that the PNJL model, formulated at finite temperature and finite quark chemical potential, reproduces some of the thermodynamical observables computed within LGT. The properties of the equation of state [5], the in-medium modification of meson masses [15] as well as the validity and applicability of the Taylor expansion in quark chemical potential used in LGT were recently addressed within the PNJL model [12,13,14].…”

Section: Introductionmentioning

confidence: 99%

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Susceptibilities and the phase structure of a chiral model with Polyakov loops

Sasaki¹,

Friman²,

2007

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In an extension of the Nambu-Jona-Lasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of Polyakov loop dynamics on thermodynamic quantities, on the phase structure at finite temperature and baryon density and on various susceptibilities is presented. Particular emphasis is put on the behavior and properties of the fluctuations of the (approximate) order parameters and their dependence on temperature and net-quark number density. We also discuss how the phase structure of the model is influenced by the coupling of the quarks to the Polyakov loop.

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Susceptibilities and speed of sound from the Polyakov-Nambu-Jona-Lasinio model

Cited by 217 publications

References 120 publications

The problem of repulsive quark interactions – Lattice versus mean field models

The problem of repulsive quark interactions – Lattice versus mean field models

Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model

Susceptibilities and the phase structure of a chiral model with Polyakov loops

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