Thermo-magnetic effects in quark matter: Nambu-Jona-Lasinio model constrained by lattice QCD

Farias, Ricardo L. S.; Timóteo, V. S.; Avancini, S. S.; Pinto, Marcus Benghi; Krein, G.

doi:10.1140/epja/i2017-12320-8

Cited by 110 publications

(101 citation statements)

References 73 publications

(57 reference statements)

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“…Later it was recognized that including a B-dependence in model parameters might improve the situation and bring model calculations closer to the lattice results. While in the Polyakov loop-extended quark meson model, this was shown to be insufficient to have a monotonically reducing T c (B) [24], other studies did profit from this strategy [25][26][27][28][29][30][31][32][33][34]. In particular a PNJL model study [26], this was performed by tuning the coupling G(B) to reproduce the transition temperature T c (B) obtained on the lattice.…”

Section: Introductionmentioning

confidence: 99%

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Endrődi

Markó

2019

J. High Energ. Phys.

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We determine the baryon spectrum of 1 + 1 + 1-flavor QCD in the presence of strong background magnetic fields using lattice simulations at physical quark masses for the first time. Our results show a splitting within multiplets according to the electric charge of the baryons and reveal, in particular, a reduction of the nucleon masses for strong magnetic fields. This first-principles input is used to define constituent quark masses and is employed to set the free parameters of the Polyakov loop-extended Nambu-Jona-Lasinio (PNJL) model in a magnetic field-dependent manner. The so constructed model is shown to exhibit inverse magnetic catalysis at high temperatures and a reduction of the transition temperature as the magnetic field grows -in line with non-perturbative lattice results. This is contrary to the naive variant of this model, which gives incorrect results for this fundamental phase diagram. Our findings demonstrate that the magnetic field dependence of the PNJL model can be reconciled with the lattice findings in a systematic way, employing solely zero-temperature first-principles input.

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Section: Introductionmentioning

confidence: 99%

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Endrődi

Markó

2019

J. High Energ. Phys.

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“…In recent years numerous activities have been in progress such as magnetic catalysis [1][2][3], inverse magnetic catalysis [4][5][6][7][8][9][10][11][12] and chiral magnetic effect [13][14][15] at finite temperature, and the chiral-and color-symmetry broken/restoration phase [16][17][18][19][20]. Also in progress is the study related to the equation of state (EoS) in thermal perturbative QCD (pQCD) models [21,22], holographic models [23,24] and various thermodynamic properties [19,20,25,26], refractive indices and decay constant of hadrons [27][28][29][30][31][32][33][34]; soft photon production from conformal anomaly [35,36] in HIC; modification of dispersion properties in a magnetized hot QED [37,38] and QCD [38][39][40][41] medium; and various transport coefficients [42]…”

Section: Introductionmentioning

confidence: 99%

Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation

et al. 2019

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Considering the general structure of the two point functions of quarks and gluons, we compute the free energy and pressure of a strongly magnetized hot and dense QCD matter created in heavy-ion collisions. In the presence of a strong magnetic field we found that the deconfined QCD matter exhibits a paramagnetic nature. One gets different pressures in directions parallel and perpendicular to the magnetic field due to the magnetization acquired by the system. We obtain both longitudinal and transverse pressures, and magnetization of hot deconfined QCD matter in the presence of the magnetic field. We have used hard thermal loop approximation for the heat bath. We obtained completely analytic expressions for pressure and magnetization under certain approximations. Various divergences appearing in free energy are regulated using appropriate counterterms. The obtained anisotropic pressure may be useful for a magnetohydrodynamics description of a hot and dense deconfined QCD matter produced in heavy-ion collisions.

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“…The growth or decrease of the quark condensate would in turn be linked to the corresponding behavior of the coupling at zero or at high temperature, respectively. This scenario has been studied within effective QCD models [3][4][5][6][7][8][9], from the Schwinger-Dyson approach [10], and from the thermomagnetic behavior of the quark-gluon vertex in QCD [11,12]. In the latter, it has been shown that the growth or decrease of the effective QCD coupling, at finite temperature and magnetic field strength, comes from a subtle competition between the color charges of gluons and quarks in such a way that at zero temperature the former is larger than the latter, whereas at high temperature, the coupling receives contributions only from the color charge associated to quarks.…”

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confidence: 99%

Thermomagnetic evolution of the QCD strong coupling

et al. 2018

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We study the one-loop gluon polarization tensor at zero and finite temperature in the presence of a magnetic field, to extract the thermomagnetic evolution of the strong coupling α s . We analyze four distinct regimes, to wit, the small and large field cases, both at zero and at high temperature. From a renormalization group analysis, we show that at zero temperature, either for small or large magnetic fields, and for a fixed transferred momentum Q 2 , α s grows with the field strength with respect to its vacuum value. However, at high temperature and also for a fixed value of Q 2 , we find two different cases. When the magnetic field is even larger than the squared temperature, α s also grows with the field strength. On the contrary, when the squared temperature is larger than the magnetic field, a turnover behavior occurs, and α s decreases with the field strength. This thermomagnetic behavior of α s can help explain the inverse magnetic catalysis phenomenon found by lattice QCD calculations. DOI: 10.1103/PhysRevD.98.031501 Strongly interacting matter exhibits unusual properties when subject to magnetic fields. It has been shown by lattice QCD (LQCD) that both the pseudocritical temperature for the chiral or deconfinement phase transition and the quark condensate for temperatures above the pseudocritical temperature decrease with the field strength. This phenomenon has been named "inverse magnetic catalysis" (IMC). The name implies the unexpected and opposite behavior to the zero temperature case, whereby the quark condensate increases monotonically with the field strength [1]. Within a framework born out from LQCD simulations, this phenomenon can be attributed to the competition between the so-called sea and valence contributions to the quark condensate, around the transition temperature. Indeed, when the condensate is computed from the QCD partition function, there are two distinct magnetic field-dependent factors: the determinant of the Dirac operator appearing when integrating out the fermion fields and the trace of the Dirac operator. The sea and valence contributions refer to the case where the magnetic field effect is only considered either in the determinant or in the trace of the Dirac operator, respectively. Although this separation seems artificial, it could apparently be placed on firmer grounds by resorting to LQCD techniques [2].Another scenario to explain the origin of IMC is that the strong coupling receives thermomagnetic corrections which make it increase or decrease depending on the competition between thermal and magnetic effects. The growth or decrease of the quark condensate would in turn be linked to the corresponding behavior of the coupling at zero or at high temperature, respectively. This scenario has been studied within effective QCD models [3][4][5][6][7][8][9], from the Schwinger-Dyson approach [10], and from the thermomagnetic behavior of the quark-gluon vertex in QCD [11,12]. In the latter, it has been shown that the growth or decrease of the effective QCD coupling, at finite...

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Thermo-magnetic effects in quark matter: Nambu-Jona-Lasinio model constrained by lattice QCD

Cited by 110 publications

References 73 publications

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation

Thermomagnetic evolution of the QCD strong coupling

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