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Generalized Bogoliubov Transformation for Confined Fields: Applications in Casimir Effect

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arxiv hep-th/0208183 v1 submitted 2002-08-26 hep-th

J.C. da Silva (1 , 2) , F.C. Khanna (3 , 4) , A. Matos Neto (1) , A.E. Santana (1 , 3) ((1) Instituto de Fisica , Universidade Federal da Bahia
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Campus de Ondina Salvador Bahia Brasil; (2) Centro Federal de Educacao Tecnologica da Bahia Brasil; (3) Physics Department Theoretical Physics Institute University of Alberta Edmonton Alberta Canada; (4) TRIUMF Westbrook mall Vancouver British Columbia Canada)
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classification hep-th
keywords fieldbogoliubovconfinedeffectfieldstransformationcasimirelectromagnetic
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The Bogoliubov transformation in thermofield dynamics, an operator formalism for the finite-temperature quantum-field theory, is generalized to describe a field in arbitrary confined regions of space and time. Starting with the scalar field, the approach is extended to the electromagnetic field and the energy-momentum tensor is written via the Bogoliubov transformation. In this context, the Casimir effect is calculated for zero and non-zero temperature, and therefore it can be considered as a vacuum condensation effect of the electromagnetic field. This aspect opens an interesting perspective for using this procedure as an effective scheme for calculations in the studies of confined fields, including the interacting fields.

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