Functional approach to the fermionic Casimir effect

Details Functional approach to the fermionic Casimir effect Functional approach to the fermionic Casimir effect

2008-05-19

arxiv.org/abs/0805.2922v1

Phys.Rev.D78:025017,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 4 figures

Scientific paper

10.1103/PhysRevD.78.025017

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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