Hadronization within a Nambu–Jona-Lasinio model with a Polyakov loop

Blanquier, Eric

doi:10.1103/physrevc.89.065204

Cited by 8 publications

(11 citation statements)

References 110 publications

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“…As with the other constants that appear in these equations, its value can vary in the literature. In my previous papers [69][70][71] and in this one, I consider two sets of parameters, named P1 and EB, which gather the used values, [29,60,89]. However, it is not uncommon to treat these constants as more or less independent ones [69,90].…”

Section: Introductionmentioning

confidence: 99%

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Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Blanquier¹

2017

Eur. Phys. J. A

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The color superconductivity was studied with an adaptation of the Nambu and Jona-Lasinio model (NJL). This one was coupled to a Polyakov loop, to form the PNJL model. A µdependent Polyakov loop potential was considered. An objective of the presented works was to describe the analytical calculations required to establish the equations to be solved, in all of the treated cases. They concerned the normal quark phase, the 2-flavor color-superconducting and the color-flavor-locked phases, in an ( ) ( ) 3 3 f c SU SU × description. The calculationswere performed according to the temperature T , the chemical potentials f µ or according to the densities f ρ , with or without the isospin symmetry. Among the obtained results, it was found that at low T , the restoration of the chiral symmetry, the deconfinement transition and the transition between the normal quark and 2-flavor color-superconducting phases occur via first order phase transitions at the same chemical potential. Moreover, an sSC phase was identified in the , q s ρ ρ plane.PACS numbers: 11.10. Wx, 11.30.Rd, 25.75.Nq ( )3 flavor SU description, one mainly mentions the 2-flavor color-superconducting (2SC) phase, in which u and d quarks form pairs, and the color-flavor-locked (CFL) phase that involves ud, us and ds pairs. Other phases were also imagined: recent works related to this topic [19][20][21][22][23][24] show rather complex phase diagrams to represent them. In Nature, some of these ones are expected to constitute the core of neutron stars or, more generally, of compact stars. Future accelerator programs plan to explore the high densities regions of the phase diagram. Color superconductivity may be probably accessible to them [25]. To describe the color superconductivity theoretically, the QCD should be the best tool to be considered. However, at high densities, some difficulties appear in a QCD description involving the three quark colors, caused by the fermion sign problem [26]. Even if some approaches have been developed to take this problem into account [5], it constitutes a serious limitation in the study of the dense matter with the QCD.The Nambu and Jona-Lasinio (NJL) model [27,28] constitutes a reliable alternative. The main idea of this approach consists in gathering the various interactions between the quarks/antiquarks in punctual ones. It leads to consider massive gluons, described by constant terms. So, the gluon degrees of freedom are frozen in this description [29]. This model was progressively improved [29][30][31][32][33][34][35][36][37][38][39][40][41][42], in order to obtain an interesting approach to describe the quark physics at low energies. With the use of Matsubara's formalism [43], the NJL approach is fully able to work at finite temperature. The model is also usable at finite chemical potentials or finite densities. As a consequence, the NJL model appears as a serious candidate to study the color superconductivity. In fact, even if other models may also be considered, like the Dyson-Schwinger approach [44,45] or the instanton...

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Section: Introductionmentioning

confidence: 99%

“…The P1 parameter set respects the isospin symmetry, i.e. P1 and EB give rather comparable results, especially for the values of the chiral condensates[71]. The relations between the constants G , V G and DIQ G should be fixed by Fierz transformations,…”

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confidence: 99%

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Blanquier¹

2017

Eur. Phys. J. A

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“…In addition, properties of light scalar (σ) and pseudo-scalar (π) mesons have also been examined in this framework to observe the effects of the Polyakov loop dynamics on the physical properties of σ, π which have a direct relevance with the dynamics of chiral symmetry restoration for hadronic systems at finite temperature and/or chemical potential. Properties of σ and π mass have already been discussed at vanishing magnetic field [67][68][69][70][71][72]. From NJL model studies [73][74][75][76][77][78] it is expected that the minimum temperature for which the overlap interval starts in the crossover region increases with the increasing magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model

Chaudhuri,

Ghosh,

Sarkar

et al. 2020

Preprint

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Various thermodynamic quantities and the phase diagram of strongly interacting hot and dense magnetized quark matter are obtained with the 2-flavour Nambu-Jona-Lasinio model with Polyakov loop considering finite values of the anomalous magnetic moment (AMM) of the quarks. Susceptibilities associated with constituent quark mass and traced Polyakov loop are used to evaluate chiral and deconfinement transition temperatures. It is found that, inclusion of the AMM of the quarks in presence of the background magnetic field results in a substantial decrease in the chiral as well as deconfinement transition temperatures in contrast to an enhancement in the chiral transition temperature in its absence. Using standard techniques of finite temperature field theory, the two point thermo-magnetic mesonic correlation functions in the scalar (σ) and neutral pseudoscalar (π 0 ) channels are evaluated to calculate the masses of σ and π 0 considering the AMM of the quarks.

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“…All these particles have been studied in the NJL and PNJL models, according to the temperature and the baryonic density [53,54]. Their masses are usable to intervene in cross-section calculations [55] and then in a dynamical model of evolution [56]. In the (P)NJL literature, the masses of these composite particles are frequently estimated with the method of Ref.…”

Section: Introductionmentioning

confidence: 99%

Mesons and diquarks in a color superconducting regime

Blanquier¹

2022

Int. J. Mod. Phys. A

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The behavior of the mesons and diquarks is studied at finite temperatures, chemical potentials and densities, notably when the color superconductivity is taken into account. The Nambu and Jona-Lasinio model complemented by a Polyakov loop (PNJL description) has been adapted in order to model them in this regime. This paper focuses on the scalar and pseudoscalar mesons and diquarks, in a three-flavor and three-color description, with the isospin symmetry and at zero strange density. An objective of this work is to underline the modifications carried out by the color superconducting regime on the used equations and on the obtained results. It has been observed that the two-flavor color-superconducting (2SC) phase affects the masses and the coupling constants of the mesons and diquarks in a non-negligible way. This observation is particularly true at high densities and low temperatures for the pions, [Formula: see text] and the diquarks [Formula: see text] whose color is [Formula: see text]. This reveals that the inclusion of the color superconductivity in the modeling is relevant to describe the mesons and diquarks near the first-order chiral phase transition.

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Hadronization within a Nambu–Jona-Lasinio model with a Polyakov loop

Cited by 8 publications

References 110 publications

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop

Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model

Mesons and diquarks in a color superconducting regime

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