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Symmetry 2018, 10(3), 74; doi:10.3390/sym10030074

Dispersion Forces Between Fields Confined to Half Spaces

1,†,* and 2,†
1
Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
2
Bogoliubov Laboratory of Theoretical Physics JINR, 141980 Dubna, Russia, and Dubna State University, 141982 Dubna, Russia
The authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 9 February 2018 / Revised: 14 March 2018 / Accepted: 15 March 2018 / Published: 19 March 2018
(This article belongs to the Special Issue Casimir Physics and Applications)
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Abstract

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet boundary conditions on the interfaces for the fields in the half spaces and calculate their one-loop contribution to the wave equation for the other field. We perform the ultraviolet renormalization and develop a convenient formalism for the calculation of the vacuum energy in this configuration. View Full-Text
Keywords: Casimir effect; quantum field theory; reflection coefficient Casimir effect; quantum field theory; reflection coefficient
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Bordag, M.; Pirozhenko, I. Dispersion Forces Between Fields Confined to Half Spaces. Symmetry 2018, 10, 74.

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