π0 pole mass calculation in a strong magnetic field and lattice constraints

Avancini, S. S.; Farias, Ricardo L. S.; Pinto, Marcus Benghi; Tavares, William R.; Timóteo, V. S.

doi:10.1016/j.physletb.2017.02.002

Cited by 104 publications

(94 citation statements)

References 21 publications

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“…There are different regularization approaches, like soft cutoff [15,19], 3-momentum cutoff [16,17] and Pauli-Villars approach [18]. A high order PauliVillars regularization has two advantages.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…For the phase transition from chiral symmetry breaking to its restoration, there are magnetic catalysis effects at the mean field level [4][5][6] and inverse magnetic catalysis effects in lattice QCD simulations [7][8][9] and effective model calculations [10][11][12][13][14]. Considering that pion mesons are the Goldstone modes corresponding to chiral symmetry breaking and dominate the QCD thermodynamics at low temperature, their properties [15][16][17][18][19][20][21][22][23][24][25][26][27] in an external magnetic field are extensively investigated.…”

Section: Introductionmentioning

confidence: 99%

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Meson properties in magnetized quark matter

Wang

Zhuang

2018

Phys. Rev. D

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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.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Meson properties in magnetized quark matter

Wang

Zhuang

2018

Phys. Rev. D

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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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“…We note that the presence of an anisotropic magnetic field in the medium requires an appropriate modification of the present theoretical tools to investigate various properties of QGP. 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][4...…”

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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π0 pole mass calculation in a strong magnetic field and lattice constraints

Cited by 104 publications

References 21 publications

Meson properties in magnetized quark matter

Meson properties in magnetized quark matter

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

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