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Anomalous-magnetic-moment-enhanced Casimir effect

Daisuke Fujii1,2,*, Katsumasa Nakayama3,†, and Kei Suzuki1,‡

  • *Contact author: daisuke@rcnp.osaka-u.ac.jp
  • †Contact author: katsumasa.nakayama@riken.jp
  • ‡Contact author: k.suzuki.2010@th.phys.titech.ac.jp
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Phys. Rev. D 113, 036002 – Published 2 February, 2026

DOI: https://doi.org/10.1103/6zds-1htp

Abstract

We theoretically investigate the impact of the anomalous magnetic moment (AMM) of Dirac fermions on the fermionic Casimir effect under magnetic fields. We formulate it as an extension of the well-known Lifshitz formula. From our formula, we find that the AMM increases the fermionic Casimir energy. In particular, when the AMM is large enough, the Casimir energy is significantly enhanced by the gapless behavior of the lowest Landau level. We also quantitatively estimate the Casimir energy from electron, muon, and constituent quark fields under magnetic fields and propose possible phenomena at finite temperature and fermion density.

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Phys. Rev. D 113, 036002– Published 2 February, 2026
  • Received 20 July 2025
  • Accepted 22 December 2025
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