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

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arxiv 1905.02103 v2 pith:PTEB2M2P submitted 2019-05-06 hep-lat hep-phnucl-th

Gergely Endrődi , Gergely Markó This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords magneticmodellatticemassesresultsbaryonsdiagramfield
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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

  1. Leading-Order QCD Equation of State in Strong Magnetic Fields at Nonzero Baryon Chemical Potential

    hep-lat 2025-08 conditional novelty 6.0 of 10

    Continuum-estimated leading-order EoS coefficients in magnetized strangeness-neutral QCD at nonzero baryon chemical potential show temperature-band crossings in q1 and P2 and a possible sign change of the trace anomal...

  2. QCD Equation of State with Strong Magnetic Fields and Nonzero Baryon Density

    hep-lat 2025-02 conditional novelty 4.0 of 10

    Lattice QCD continuum estimates of leading-order baryon-density Taylor coefficients of the magnetized QCD equation of state show deviations from hadron gas and approach to a free gas at strong fields.

  3. 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.

  4. 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.

  5. 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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