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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| Format: | Article |
| Language: | English |
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MDPI AG
2018-03-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/3/74 |
| _version_ | 1811187349226258432 |
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| author | M. Bordag I.G. Pirozhenko |
| author_facet | M. Bordag I.G. Pirozhenko |
| author_sort | M. Bordag |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T14:01:43Z |
| format | Article |
| id | doaj.art-aa7b76108e6d4f3a99aa16f7a9263597 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T14:01:43Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-aa7b76108e6d4f3a99aa16f7a92635972022-12-22T04:20:07ZengMDPI AGSymmetry2073-89942018-03-011037410.3390/sym10030074sym10030074Dispersion Forces Between Fields Confined to Half SpacesM. Bordag0I.G. Pirozhenko1Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, GermanyBogoliubov Laboratory of Theoretical Physics JINR, 141980 Dubna, Russia, and Dubna State University, 141982 Dubna, RussiaWe 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.http://www.mdpi.com/2073-8994/10/3/74Casimir effectquantum field theoryreflection coefficient |
| spellingShingle | M. Bordag I.G. Pirozhenko Dispersion Forces Between Fields Confined to Half Spaces Symmetry Casimir effect quantum field theory reflection coefficient |
| title | Dispersion Forces Between Fields Confined to Half Spaces |
| title_full | Dispersion Forces Between Fields Confined to Half Spaces |
| title_fullStr | Dispersion Forces Between Fields Confined to Half Spaces |
| title_full_unstemmed | Dispersion Forces Between Fields Confined to Half Spaces |
| title_short | Dispersion Forces Between Fields Confined to Half Spaces |
| title_sort | dispersion forces between fields confined to half spaces |
| topic | Casimir effect quantum field theory reflection coefficient |
| url | http://www.mdpi.com/2073-8994/10/3/74 |
| work_keys_str_mv | AT mbordag dispersionforcesbetweenfieldsconfinedtohalfspaces AT igpirozhenko dispersionforcesbetweenfieldsconfinedtohalfspaces |