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Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments

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arxiv 2009.01828 v2 pith:THEATP7E submitted 2020-09-03 hep-ph astro-ph.HEnucl-th

Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments

classification hep-ph astro-ph.HEnucl-th
keywords magneticfieldregularizationanomalousexaminedintensitymattermodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this purpose analytic regularization and a subtraction scheme are used to deal with divergencies depending on the magnetic intensity. This scheme is combined with the standard three momentum cutoff recipe, and reduces to it for vanishing magnetic intensity. Furthermore, the effects of a direct coupling between the anomalous magnetic moments of the quarks and the magnetic field is considered. Single particle properties as well as bulk thermodynamical quantities are studied for a configuration of matter found in neutron stars. A wide range of baryonic densities and magnetic intensities are examined at zero temperature.

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Cited by 3 Pith papers

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

  1. Anomalous-magnetic-moment-enhanced Casimir effect

    hep-ph 2025-07 unverdicted novelty 5.0

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

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

    hep-ph 2026-06 conditional novelty 3.5

    MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.

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

    hep-ph 2026-06 unverdicted novelty 2.0

    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.