Anomalous-magnetic-moment-enhanced Casimir effect

Fujii, Daisuke; Nakayama, Katsumasa*; Suzuki, Kei   

We present a theoretical study on how the anomalous magnetic moment (AMM) of Dirac fermions influences the fermionic Casimir effect in the presence of magnetic fields. The analysis is carried out by generalizing the standard Lifshitz formula to incorporate the AMM. Our extended formulation reveals that the presence of the AMM leads to an increase in the fermionic Casimir energy. Notably, when the AMM becomes sufficiently large, this enhancement is markedly amplified due to the gapless nature of the lowest Landau level. We further provide quantitative estimates of the Casimir energy contributions from various fermions, such as electrons, muons, and constituent quarks, subjected to magnetic fields.