Analysis of constraints and their algebra in bimetric theory
Abstract We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the correct form to eliminate the ghost. We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)182 |
| _version_ | 1811285956062347264 |
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| author | S. F. Hassan Anders Lundkvist |
| author_facet | S. F. Hassan Anders Lundkvist |
| author_sort | S. F. Hassan |
| collection | DOAJ |
| description | Abstract We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the correct form to eliminate the ghost. We also identify a set of four first class constraints that generate the algebra of general covariance. The covariance algebra naturally determines a spacetime metric for the theory. However, in bimetric theory, this metric is not unique but depends on how the first class constraints are identified. |
| first_indexed | 2024-04-13T02:52:38Z |
| format | Article |
| id | doaj.art-cf929c0b153748e79fcb6f0f3d4bec3a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T02:52:38Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cf929c0b153748e79fcb6f0f3d4bec3a2022-12-22T03:05:48ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018814210.1007/JHEP08(2018)182Analysis of constraints and their algebra in bimetric theoryS. F. Hassan0Anders Lundkvist1Department of Physics & The Oskar Klein Centre, Stockholm University, AlbaNova University CentreDepartment of Physics & The Oskar Klein Centre, Stockholm University, AlbaNova University CentreAbstract We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the correct form to eliminate the ghost. We also identify a set of four first class constraints that generate the algebra of general covariance. The covariance algebra naturally determines a spacetime metric for the theory. However, in bimetric theory, this metric is not unique but depends on how the first class constraints are identified.http://link.springer.com/article/10.1007/JHEP08(2018)182Classical Theories of GravityCosmology of Theories beyond the SM |
| spellingShingle | S. F. Hassan Anders Lundkvist Analysis of constraints and their algebra in bimetric theory Journal of High Energy Physics Classical Theories of Gravity Cosmology of Theories beyond the SM |
| title | Analysis of constraints and their algebra in bimetric theory |
| title_full | Analysis of constraints and their algebra in bimetric theory |
| title_fullStr | Analysis of constraints and their algebra in bimetric theory |
| title_full_unstemmed | Analysis of constraints and their algebra in bimetric theory |
| title_short | Analysis of constraints and their algebra in bimetric theory |
| title_sort | analysis of constraints and their algebra in bimetric theory |
| topic | Classical Theories of Gravity Cosmology of Theories beyond the SM |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)182 |
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