Standard particles in the SU(3) Nambu–Jona-Lasinio model and the Polyakov–NJL model

We apply the three-flavor (Polyakov-)Nambu-Jona-Lasinio model to generate baryons as quarkdiquark bound states using many-body techniques at finite temperature. All the baryonic states belonging to the octet and decuplet flavor representations are generated in the isospin-symmetric case. For each state we extract the melting temperature at which the baryon may decay into a quark-diquark pair. We seek for an evidence of the strangeness dependence of the baryon melting temperature as suggested by the statistical thermal models and supported by lattice-QCD results. A clear and robust signal for this claim is found, pointing to a flavor dependence of the hadronic deconfinement temperature.

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“…In Refs. [21,31] (with no further justification for this step). In addition, the transverse nature of the axial diquark propagator is omitted.…”

Section: Results and Conclusionmentioning

confidence: 99%

Flavor dependence of baryon melting temperature in effective models of QCD

2015

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“…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. Although hadrons are not present as dynamical degrees of freedom in the NJL or PNJL model, mesonic modes at real as well as imaginary chemical potential are studied as collective excitations within random phase approximation [49][50][51][52][53][54][55][56] and formation of baryons composed of quarks and diquarks has also been studied by solving the Dyson-Schwinger equation [57,58]. Mesons involving heavy quarks have been studied recently in NJL and PNJL models [59].…”

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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“…Their contribution to the pressure is suppressed at low temperatures by the Polyakov loop in a similar way than for quarks. Baryons [23,52] should also be introduced, especially at finite chemical potential, where the contribution of nucleons can largely affect the thermodynamics. However, it is not evident how to perform this extension at the level of the thermodynamic potential.…”

Section: T (Mev)mentioning

confidence: 99%

Equation of state of a quark-meson mixture in the improved Polyakov–Nambu–Jona-Lasinio model at finite chemical potential

Torres-Rincón

Aichelin

2017

Phys. Rev. C

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We study the equation of state of QCD using an improved version of the threeflavor Polyakov-Nambu-Jona-Lasinio model beyond the mean-field approximation.It incorporates the effects of unquenched quarks into the Polyakov-loop effective potential, as well as mesonic contributions to the grand-canonical potential. We study in full detail the calculation of the thermodynamical potential in this approach and compare the resulting pressure and entropy density with the most-recent lattice-QCD calculations at zero baryochemical potential. Finally, we present some exploratory results at finite chemical potential which include the phase diagram of the model, the quark and meson masses, and finally, the thermodynamical pressure. Contents

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Standard particles in the SU(3) Nambu–Jona-Lasinio model and the Polyakov–NJL model

Cited by 26 publications

References 49 publications

Flavor dependence of baryon melting temperature in effective models of QCD

Flavor dependence of baryon melting temperature in effective models of QCD

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

Equation of state of a quark-meson mixture in the improved Polyakov–Nambu–Jona-Lasinio model at finite chemical potential

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