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The Casimir effect in chiral media using path integral techniques
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The Casimir effect in chiral media using path integral techniques
abstract
We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and perfect magnetic conditions, are implemented directly in the action by the usage of auxiliary fields. The chiral properties of the vacuum are modelled using a background $\theta$ field, and we introduce techniques to efficiently calculate the path integral in this chiral medium. The flexibility of our method allows us to naturally obtain results for a variety of configurations, and where comparison is possible our results are in perfect agreement with existing literature. Among these are multiple situations where a repulsive Casimir force is possible.
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Cited by 1 Pith paper
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Non-Abelian Casimir energy in the Curci-Ferrari model through a functional approach
In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern ...
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