Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field

Ferreira, Márcio; Costa, Pedro; Menezes, Débora P.; Providência, Constança; Scoccola, Norberto

doi:10.48550/arxiv.1305.4751

Cited by 17 publications

(21 citation statements)

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“…Many other groups elaborate different QCD-like models at finite (T, µ, eB), that exhibit χSB. The latter consists of, e.g., NJL-model [35,36], Polyakov-linearσ model [37], Polyakov-NJL model [38][39][40], Polyakov-Quark-Meson model [41,42], NJL model including axial chemical potential [43,44], Ginzburg-Landau model [45], charged scalar model with spontaneous χSB [46], NJL model with dynamical AMM generation [47]. Let us notice that the interest on this subject grows up after the still not fully comprehended lattice results by Bali et al in [27].…”

Section: Introductionmentioning

confidence: 99%

“…They reported an unprecedented decrease of T c as a function of eB within an ab initio lattice QCD simulation, and declared this as a signature of IMC in this framework. The physical explanation of the phenomenon of IMC is, in particular, still under investigation: In [30,39], the interaction of the magnetic field with the sea quarks leading to a backreaction of the Polyakov loop, and in [35] the magnetic inhibition because of neutral meson fluctuations are made responsible for IMC. In [44], it is explained how IMC is induced by sphalerons.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous magnetic moment of hot quarks, inverse magnetic catalysis, and reentrance of the chiral symmetry broken phase

Fayazbakhsh

Sadooghi

2014

Phys. Rev. D

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The effect of anomalous magnetic moment of quarks on thermodynamic properties of the chiral condensate is studied, using of a two-flavor Nambu-Jona-Lasinio model at finite temperature T , chemical potential µ, and in the presence of a uniform magnetic field eB. To this purpose, the Schwinger linear-in-B ansatz for the quark anomalous magnetic moment in term of the nonperturbative Bohr magneton is considered. In a two-dimensional flavor space, it leads to the correction T Sch =κQeB in the energy dispersion relation of quarks. Here,Q is the quark charge matrix. We consider three different sets forκ, and numerically determine the dependence of the constituent quark mass on T, µ and eB for fixedκ. By exploring the complete phase portrait of this model in T -µ, µ-eB, and T -eB phase spaces for various fixed eB, T , µ andκ, we observe that inverse magnetic catalysis occurs for large enoughκ. Moreover, in the regime of weak magnetic fields, the phenomenon of reentrance of chiral symmetry broken and restored phases occurs for T, µ and eB dependentκ.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anomalous magnetic moment of hot quarks, inverse magnetic catalysis, and reentrance of the chiral symmetry broken phase

Fayazbakhsh

Sadooghi

2014

Phys. Rev. D

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“…In that work the parameter space is first constrained at vanishing magnetic field, using the quarks dynamical masses and the meson spectra, and then, at non-vanishing magnetic field strength, the dependence of the dynamical masses of two of the quark flavors (down and strange) is used to fit a magnetic field dependence on the model couplings, both the four-fermion Nambu-Jona-Lasinio interaction and the six-fermion 't Hooft fla-vor determinant while keeping the momentum integration regularization cutoff fixed at its vanishing magnetic field value. This work followed several other works in which it was sought to describe the effect of the inverse magnetic catalysis by using effective models [40,41].…”

Section: Introductionmentioning

confidence: 98%

Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths

Moreira,

Costa,

Restrepo

2021

Preprint

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We study the phase diagram for strongly interacting matter using the 't Hooft determinant extended Nambu-Jona-Lasinio model with a Polyakov loop in the light and strange quark sectors (up, down and strange) focusing on the effect of a magnetic field dependence of the coupling strengths of these interactions. This dependence was obtained so as to reproduce recent lattice QCD results for the magnetic field dependence of the quarks dynamical masses.A finite magnetic field is known to induce several additional first-order phase transition lines with the respective Critical End Points (CEP) in the temperature-quark chemical potential phase diagram when compared to the zero magnetic field case. A study of the magnetic field dependence in the range eB = 0 − 0.6 GeV 2 of the location of these CEPs reveals that the initial one as well as several of the new ones only survive up to a critical magnetic field. Only two remain in the upper limit of the studied magnetic field strength. A comparison of the results obtained with versions of the model with and without Polyakov loop is also done.We also found that the inclusion of the magnetic field dependence on the coupling strengths, while not changing the qualitative features of the phase diagram, affects the location of these CEPs. The comparison of results with and without a regularization cutoff in the medium part of the integrals does not show a significant change.

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“…Indeed, φ 4 -theory [23], chiral perturbation theory [24,25] (However, see also Ref. [26]), the NJL model [27,28], the PNJL model [22,29,30], and the quark-meson (QM) model [28,[31][32][33] all predict this behavior (note however the recent paper where the authors use a B-dependent scale parameter for the Polyakov loop potential to reproduce the lattice results [34]). Furthermore, the PNJL model also predicts a modest split of approximately 2% between the chiral transition and the deconfinement transition, except for Ref.…”

Section: Introductionmentioning

confidence: 99%

Two-color QCD in a strong magnetic field: The role of the Polyakov loop

Andersen

Cruz

2013

Phys. Rev. D

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We study two-color QCD in an external magnetic backround at finite temperature using the Polyakov-loop extended two-flavor two-color NJL model. At T=0, the chiral condensate is calculated and it is found to increase as a function of the magnetic field $B$. In the chiral limit the deconfinement transition lies below the chiral transition for nonzero magnetic fields $B$. At the physical point, the two transitions seem to coincide for field strengths up to $|qB|\approx 5m_{\pi}^2$ whereafter they split. The splitting between the two increases as a function of $B$ in both the chiral limit and at the physical point. In the range from zero magnetic field and $|qB|=20 m_{\pi}^2$, the transition temperature for the chiral transition increases by approximately 35 MeV, while the transition temperature for deconfinement is essentially constant.Comment: 11 pages and 8 figures. v2 matches published version in PR

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Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field

Cited by 17 publications

References 0 publications

Anomalous magnetic moment of hot quarks, inverse magnetic catalysis, and reentrance of the chiral symmetry broken phase

Anomalous magnetic moment of hot quarks, inverse magnetic catalysis, and reentrance of the chiral symmetry broken phase

Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths

Two-color QCD in a strong magnetic field: The role of the Polyakov loop

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