Casimir Effect For a Scalar Field via Krein Quantization

Abstract

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this technique, the field operators are constructed from both negative and positive norm states. Having understood that negative norm states are un-physical, they are only used as a mathematical tool for renormalizing the theory and then one can get rid of them by imposing some proper physical conditions.

arXiv comment10 pages, no figure, references added, conclusion has been improved, published version, to appear in Annals of Physics

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Cited by in corpus (5)

• Non-Linear Trans-Planckian Corrections of Spectra due to the Non-trivial Initial States
• "Massless" spin-2 field in de Sitter space
• "Krein" regularization method
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• Inflation in Non-de Sitter Background with Coherent States