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Anomalous Casimir effect in axion electrodynamics

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arxiv 1906.08975 v2 pith:F24CYJC3 submitted 2019-06-21 hep-th cond-mat.mes-hallhep-phquant-ph

Kenji Fukushima , Shota Imaki , Zebin Qiu This is my paper · ORCID
classification hep-thcond-mat.mes-hallhep-phquant-ph
keywords casimirthetaeffectanomalousaxionaxisdependentelectrodynamics
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abstract

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along the $z$-axis. Then we demonstrate that the Casimir force between two parallel plates perpendicular to the $z$-axis can be either attractive or repulsive, dependent on the gradient of $\theta$. We call this repulsive component in the Casimir force induced by inhomogeneous $\theta$ the anomalous Casimir effect.

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  1. Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy

    hep-th 2024-12 conditional novelty 6.0 of 10

    DEM boundary conditions on two parallel plates yield the same Casimir energy as perfectly conducting plates, after restoring BRST invariance with boundary ghost fields.

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