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arXiv · 0805.2922

Functional approach to the fermionic Casimir effect

C. D. Fosco·E. L. Losada
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Abstract

We use a functional approach to calculate the Casimir energy due to Dirac fields in interaction with thin, flat, parallel walls, which implement imperfect bag-like boundary conditions. These are simulated by the introduction of delta-like interactions with the walls. We show that, with a proper choice for the corresponding coupling constants, bag-model boundary condition are properly implemented. We obtain explicit expressions for the energies in 1+1 and 3+1 dimensions, for massless and massive fields.

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C. D. Fosco, E. L. Losada. 2008-05-19. Functional approach to the fermionic Casimir effect. https://doi.org/10.1103/physrevd.78.025017

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