Quark–hadron matter at finite temperature and density in a two-color PNJL model

Imai, Shiro; Toki, H.; Weise, W.

doi:10.1016/j.nuclphysa.2013.06.001

Cited by 28 publications

(33 citation statements)

References 54 publications

(82 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such a work could also take into account the influence on these phases of the extreme magnetic fields present in some compact stars (magnetars) [132][133][134][135][136][137][138]. Moreover, another possible continuation of the presented studies may be the update of the description of the mesons and baryons in the color superconducting regime, in order to complete the comparison between the NJL/PNJL/ µ PNJL descriptions and the ∆ NJL/ ∆ PNJL/ µ ∆ PNJL ones [90,101,103,139,140]. Furthermore, (A9) is also usable to perform the Matsubara summations in (28), (31) and (36).…”

Section: Discussionmentioning

confidence: 99%

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

Blanquier¹

2017

Eur. Phys. J. A

View full text Add to dashboard Cite

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...

show abstract

Section: Discussionmentioning

confidence: 99%

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

Blanquier¹

2017

Eur. Phys. J. A

View full text Add to dashboard Cite

show abstract

“…They are usually constructed through nonperturbative methods like random phase approximation (RPA) [16,18] and derivative expansion [28][29][30]. In the RPA approach, mesons are introduced via the summation of an infinite number of quark loops.…”

Section: Introductionmentioning

confidence: 99%

Meson properties in magnetized quark matter

Wang

Zhuang

2018

Phys. Rev. D

View full text Add to dashboard Cite

We study neutral and charged meson properties in the magnetic field. Taking the bosonization method in a two-flavor Nambu-Jona-Lasinio model, we derive effective meson Lagrangian density with minimal coupling to the magnetic field, by employing derivative expansion for both the meson fields and Schwinger phases. We extract from the effective Lagrangian density the meson curvature, pole and screening masses. As the only Goldstone mode, the neutral pion controls the thermodynamics of the system and propagates the long range quark interaction. The magnetic field breaks down the space symmetry, and the quark interaction region changes from a sphere in vacuum to a ellipsoid in magnetic field.

show abstract

“…The two-color version including the diquark channel, with κ = 0 and λ = 1, was first introduced in Ref. [23] and subsequently used by several other groups [24,25]. In the following subsection, we will discuss the consequences of the modifications introduced here.…”

Section: A Classification Of Operatorsmentioning

confidence: 99%

Confronting effective models for deconfinement in dense quark matter with lattice data

Andersen¹,

Brauner²,

Naylor³

2015

Phys. Rev. D

View full text Add to dashboard Cite

Ab initio numerical simulations of the thermodynamics of dense quark matter remain a challenge. Apart from the infamous sign problem, lattice methods have to deal with finite volume and discretization effects as well as with the necessity to introduce sources for symmetry-breaking order parameters. We study these artifacts in the Polyakov-loop-extended Nambu-Jona-Lasinio model, and compare its predictions to existing lattice data for cold and dense two-color matter with two flavors of Wilson quarks. To achieve even qualitative agreement with lattice data requires the introduction of two novel elements in the model: (i) explicit chiral symmetry breaking in the effective contact four-fermion interaction, referred to as the chiral twist, and (ii) renormalization of the Polyakov loop. The feedback of the dense medium to the gauge sector is modeled by a chemicalpotential-dependent scale in the Polyakov-loop potential. In contrast to previously used analytical ansätze, we determine its dependence on the chemical potential from lattice data for the expectation value of the Polyakov loop. Finally, we propose to add a two-derivative operator to our effective model. This term acts as an additional source of explicit chiral symmetry breaking, mimicking an analogous term in the lattice Wilson action.

show abstract

Quark–hadron matter at finite temperature and density in a two-color PNJL model

Cited by 28 publications

References 54 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

Meson properties in magnetized quark matter

Confronting effective models for deconfinement in dense quark matter with lattice data

Contact Info

Product

Resources

About