Dispersion Forces Between Fields Confined to Half Spaces

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 sp...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 10; no. 3; p. 74
Main Authors Bordag, M., Pirozhenko, I.G.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2018
Subjects
Casimir effect
Dirichlet problem
Half spaces
quantum field theory
Quantum theory
reflection coefficient
Wave dispersion
Wave equations
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym10030074