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Nambu--Jona-Lasinio $SU(3)$ model constrained by lattice QCD: thermomagnetic effects in the magnetization

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arxiv 2104.11117 v2 pith:CN4OXOJC submitted 2021-04-22 hep-ph hep-latnucl-th

William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini , Varese S. Timóteo , Marcus B. Pinto , Gastão Krein This is my paper · ORCID
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keywords latticemagneticmagnetizationmodelquarkmatterresultsagreement
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We use a three-flavor Nambu--Jona-Lasinio model to study the thermodynamics of strange quark matter under a strong magnetic field. The model Lagrangian features flavor SU(3) four-quark interactions and six-quark interactions that break the UA(1) symmetry. We incorporate thermomagnetic effects in the four-quark coupling. The model predicts magnetic catalysis at low temperatures and inverse magnetic catalysis at temperatures close to the pseudocritical temperature of the QCD transition, in agreement with lattice QCD results. We compute the pressure at the mean field level and obtain the magnetization of quark matter. We adopt the recently proposed vacuum magnetic regularization (VMR) scheme, in that divergent quark mass independent contributions are not subtracted, thereby avoiding unphysical results for the magnetization. We devote special attention to the renormalized magnetization, a projected quantity that allows for direct comparisons with lattice QCD simulations. Our results are in very good agreement with lattice data indicating a paramagnetic behavior for quark matter.

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Cited by 4 Pith papers

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  1. Dynamical quark mass and finite volume effects in the Dyson-Schwinger Equations

    hep-ph 2025-08 conditional novelty 4.0 of 10

    In a Dyson-Schwinger model with spherical finite-volume corrections and magnetic-field-dependent coupling, constituent quark masses fall by about 30-40% as the fireball radius shrinks from infinity to 2 fm.

  2. Chiral vortical catalysis constrained by LQCD simulations

    hep-ph 2024-12 conditional novelty 4.0 of 10

    By fitting an angular-velocity-dependent coupling to LQCD data, the NJL model exhibits chiral vortical catalysis: rotation enhances the chiral condensate and raises the transition temperature and critical endpoint.

  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 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.

  4. 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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