Casimir Effect For a Scalar Field via Krein Quantization

Details Casimir Effect For a Scalar Field via Krein Quantization Casimir Effect For a Scalar Field via Krein Quantization

2012-04-26

arxiv.org/abs/1204.6001v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figure

Scientific paper

In this paper, we apply the indefinite metric field (Krein) quantization method to study the Casimir effect for a massless scalar field on a sphere with Dirichlet boundary condition. In this method negative norm (un-physical) states automatically regularize the theory. Having understood that these states are un-physical they are used as only mathematical tools for renormalizing the theory and then one can get rid of them by imposing some proper physical conditions.

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