Anomalous-magnetic-moment-enhanced Casimir effect

TL;DR

This paper explores how the anomalous magnetic moment of Dirac fermions influences the fermionic Casimir effect in magnetic fields, extending the Lifshitz formula and predicting significant energy enhancements.

Contribution

It introduces a theoretical extension of the Lifshitz formula to include AMM effects on the fermionic Casimir energy under magnetic fields.

Findings

AMM increases the fermionic Casimir energy.

Large AMM leads to significant energy enhancement due to gapless lowest Landau level.

Quantitative estimates for electron, muon, and quark fields under magnetic fields.

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.