Topologically Protected Duality on The Boundary of Maxwell-BF Theory
The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four-dimensional spacetime. The presence of a boundary breaks the Ward identities, which describe the gauge symmetries of the theory, and, using standard methods of quantum field theory, the most general boundary co...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/7/921 |
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| author | Alberto Blasi Nicola Maggiore |
| author_facet | Alberto Blasi Nicola Maggiore |
| author_sort | Alberto Blasi |
| collection | DOAJ |
| description | The Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four-dimensional spacetime. The presence of a boundary breaks the Ward identities, which describe the gauge symmetries of the theory, and, using standard methods of quantum field theory, the most general boundary conditions and a nontrivial current algebra on the boundary are derived. The electromagnetic structure, which characterizes the boundary, is used to identify the three-dimensional degrees of freedom, which turn out to be formed by a scalar field and a vector field, related by a duality relation. The induced three-dimensional theory shows a strong−weak coupling duality, which separates different regimes described by different covariant actions. The role of the Maxwell term in the bulk action is discussed, together with the relevance of the topological nature of the bulk action for the boundary physics. |
| first_indexed | 2024-04-14T02:05:43Z |
| format | Article |
| id | doaj.art-6076dd658c1e44578da79da408b893c3 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T02:05:43Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-6076dd658c1e44578da79da408b893c32022-12-22T02:18:40ZengMDPI AGSymmetry2073-89942019-07-0111792110.3390/sym11070921sym11070921Topologically Protected Duality on The Boundary of Maxwell-BF TheoryAlberto Blasi0Nicola Maggiore1Dipartimento di Fisica, Università di Genova, via Dodecaneso 33, I-16146 Genova, ItalyDipartimento di Fisica, Università di Genova, via Dodecaneso 33, I-16146 Genova, ItalyThe Maxwell-BF theory with a single-sided planar boundary is considered in Euclidean four-dimensional spacetime. The presence of a boundary breaks the Ward identities, which describe the gauge symmetries of the theory, and, using standard methods of quantum field theory, the most general boundary conditions and a nontrivial current algebra on the boundary are derived. The electromagnetic structure, which characterizes the boundary, is used to identify the three-dimensional degrees of freedom, which turn out to be formed by a scalar field and a vector field, related by a duality relation. The induced three-dimensional theory shows a strong−weak coupling duality, which separates different regimes described by different covariant actions. The role of the Maxwell term in the bulk action is discussed, together with the relevance of the topological nature of the bulk action for the boundary physics.https://www.mdpi.com/2073-8994/11/7/921quantum field theorytopological quantum field theoryduality in gauge field theoriesboundary quantum field theory |
| spellingShingle | Alberto Blasi Nicola Maggiore Topologically Protected Duality on The Boundary of Maxwell-BF Theory Symmetry quantum field theory topological quantum field theory duality in gauge field theories boundary quantum field theory |
| title | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_full | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_fullStr | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_full_unstemmed | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_short | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_sort | topologically protected duality on the boundary of maxwell bf theory |
| topic | quantum field theory topological quantum field theory duality in gauge field theories boundary quantum field theory |
| url | https://www.mdpi.com/2073-8994/11/7/921 |
| work_keys_str_mv | AT albertoblasi topologicallyprotecteddualityontheboundaryofmaxwellbftheory AT nicolamaggiore topologicallyprotecteddualityontheboundaryofmaxwellbftheory |