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NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription

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arxiv 1904.02730 v2 pith:CJE7H2G7 submitted 2019-04-04 hep-ph hep-lathep-thnucl-th

classification hep-phhep-lathep-thnucl-th
keywords regularizationdependencedifferentmodelquarkanalyzedapproximationaverage
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter dependence for each regularization procedure is also analyzed in detail. We calculate the average and difference of the quark condensates using different regularization methods and compare with recent lattice results. In this context, the reliability of the different regularization procedures is discussed.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First-order CP phase transition in two-flavor QCD at $\theta = \pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description

    hep-ph 2025-02 conditional novelty 6.0 of 10

    In an NJL model, the electromagnetic scale anomaly creates a thermal potential barrier proportional to |eB|^3 |P|/(P^2 + m0^2), making the theta = pi CP transition first order.

  2. Anomalous-magnetic-moment-enhanced Casimir effect

    hep-ph 2025-07 unverdicted novelty 5.0 of 10

    Anomalous magnetic moment of Dirac fermions enhances fermionic Casimir energy under magnetic fields via gapless lowest Landau level behavior.

  3. $\pi^0$-$\gamma$ mixing in the presence of a strong magnetic field

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    In the NJL model, π⁰-γ mixing under strong B fields affects only one polarization state and produces less than 15% change in pion mass and quark couplings up to 1 GeV²/e, at variance with earlier results.

  4. Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

    nucl-th 2019-07 unverdicted novelty 4.0 of 10

    In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.

  5. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 unverdicted novelty 3.5 of 10

    Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.

  6. Strongly interacting matter in extreme magnetic fields

    nucl-th 2024-12 conditional novelty 2.0 of 10

    A state-of-the-art review of magnetic field effects in QCD and QED matter, covering meson properties, anomalous transport, effective models, the QCD phase diagram, and neutron stars.

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