Effective action for QED 3 in a region with borders

@article{Fosco2006EffectiveAF,
  title={Effective action for QED 3 in a region with borders},
  author={C. D. Fosco and Francisco Diego Mazzitelli},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={025020}
}
We study quantum effects due to a Dirac field in $2+1$ dimensions, confined to a spatial region with a nontrivial boundary, and minimally coupled to an Abelian gauge field. To that end, we apply a path-integral representation, which is applied to the evaluation of the Casimir energy and to the study of the contribution of the boundary modes to the effective action when an external gauge field is present. We also implement a large-mass expansion, deriving results which are, in principle, valid… 
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