A generalized bag-like boundary condition for fields with arbitrary spin
Boundary conditions (BCs) for the Maxwell and Dirac fields at material surfaces are widely-used and physically well-motivated, but do not appear to have been generalized to deal with higher spin fields. As a result there is no clear prescription as to which BCs should be selected in order to obtain...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/7/073012 |
| _version_ | 1797751090384470016 |
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| author | Adam Stokes Robert Bennett |
| author_facet | Adam Stokes Robert Bennett |
| author_sort | Adam Stokes |
| collection | DOAJ |
| description | Boundary conditions (BCs) for the Maxwell and Dirac fields at material surfaces are widely-used and physically well-motivated, but do not appear to have been generalized to deal with higher spin fields. As a result there is no clear prescription as to which BCs should be selected in order to obtain physically-relevant results pertaining to confined higher spin fields. This lack of understanding is significant given that boundary-dependent phenomena are ubiquitous across physics, a prominent example being the Casimir effect. Here, we use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin- $1/2$ and spin-1 fields. We then use this unification to obtain a BC that can be applied to massless fields of any spin, including the spin-2 graviton, and its supersymmetric partner the spin- $3/2$ gravitino. |
| first_indexed | 2024-03-12T16:43:23Z |
| format | Article |
| id | doaj.art-4bfefa5b7a214067b79a324cc7bc6a43 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:43:23Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4bfefa5b7a214067b79a324cc7bc6a432023-08-08T14:21:18ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117707301210.1088/1367-2630/17/7/073012A generalized bag-like boundary condition for fields with arbitrary spinAdam Stokes0Robert Bennett1Department of Physics & Astronomy, University of Leeds , LS2 9JT, UKDepartment of Physics & Astronomy, University of Leeds , LS2 9JT, UKBoundary conditions (BCs) for the Maxwell and Dirac fields at material surfaces are widely-used and physically well-motivated, but do not appear to have been generalized to deal with higher spin fields. As a result there is no clear prescription as to which BCs should be selected in order to obtain physically-relevant results pertaining to confined higher spin fields. This lack of understanding is significant given that boundary-dependent phenomena are ubiquitous across physics, a prominent example being the Casimir effect. Here, we use the two-spinor calculus formalism to present a unified treatment of BCs routinely employed in the treatment of spin- $1/2$ and spin-1 fields. We then use this unification to obtain a BC that can be applied to massless fields of any spin, including the spin-2 graviton, and its supersymmetric partner the spin- $3/2$ gravitino.https://doi.org/10.1088/1367-2630/17/7/073012Casimir effectspinor fieldsbag model11.10.-z12.20.-m03.70.+k |
| spellingShingle | Adam Stokes Robert Bennett A generalized bag-like boundary condition for fields with arbitrary spin New Journal of Physics Casimir effect spinor fields bag model 11.10.-z 12.20.-m 03.70.+k |
| title | A generalized bag-like boundary condition for fields with arbitrary spin |
| title_full | A generalized bag-like boundary condition for fields with arbitrary spin |
| title_fullStr | A generalized bag-like boundary condition for fields with arbitrary spin |
| title_full_unstemmed | A generalized bag-like boundary condition for fields with arbitrary spin |
| title_short | A generalized bag-like boundary condition for fields with arbitrary spin |
| title_sort | generalized bag like boundary condition for fields with arbitrary spin |
| topic | Casimir effect spinor fields bag model 11.10.-z 12.20.-m 03.70.+k |
| url | https://doi.org/10.1088/1367-2630/17/7/073012 |
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