2006•Journal of Physics A Mathematical and GeneralOpen access

Analytical regularization for confined quantum fields between parallel surfaces

F. C. Santos, A. C. Tort, E. Elizalde

Abstract

We review a simple technique for evaluating the regularized vacuum energy stemming from non-trivial boundary conditions and present results for the Casimir energy of a massive fermionic field confined by a d + 1 dimensional slab-bag and the effect of a uniform magnetic field on the vacuum energy of confined massive bosonic and fermionic fields. New results concerning the Casimir energy and the evaluation of the rate of quanta creation in κ-deformed theories are also discussed.

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Key concepts: Casimir effect, Vacuum energy, Regularization (linguistics), Physics, Quantum field theory, Slab, Casimir pressure, Boundary value problem