Consistent strong-field treatment of anomalous magnetic moments

Derive a consistent strong-field field-theoretical treatment of baryon anomalous magnetic moments that simultaneously includes the relevant radiative anomalous-magnetic-moment and mass corrections, thereby determining whether phenomenological anomalous-magnetic-moment effects remain significant at supercritical magnetic-field strengths.

Background

The paper employs phenomenological anomalous magnetic moment couplings matched to vacuum magnetic moments. However, it describes an unresolved theoretical disagreement over the validity of the Schwinger anomalous-magnetic-moment prescription in the strong-field regime.

The cited strong-field radiative analysis argues that anomalous-magnetic-moment contributions to the equation of state may be negligible and that omitting radiative mass corrections makes the lowest-Landau-level treatment inconsistent. Resolving this issue is necessary to establish whether the substantial composition and equation-of-state modifications found in the phenomenological calculation are physically reliable at fields of order 1018 G and above.

References

However, we emphasize that the treatment of AMM in strong magnetic fields remains a subject of active theoretical debate.

— Effects of Strong Magnetic Fields on the Equation of State and Mass-Radius Structure of Hyperonic Neutron-Star Matter with Anomalous Magnetic Moments  (2609.02441 - German et al., 2 Sep 2026) in Introduction, paragraph discussing Manreza Paret et al.; Section V, Discussion