Anomalous-magnetic-moment-enhanced Casimir effect
High Energy Physics - Phenomenology
2026-05-04 v2 High Energy Physics - Theory
Nuclear Theory
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2507.14015,
title = {Anomalous-magnetic-moment-enhanced Casimir effect},
author = {Daisuke Fujii and Katsumasa Nakayama and Kei Suzuki},
journal= {arXiv preprint arXiv:2507.14015},
year = {2026}
}
Comments
13 pages, 10 figures