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| author_facet |
Blasi, Alberto Maggiore, Nicola Blasi, Alberto Maggiore, Nicola |
|---|---|
| author |
Blasi, Alberto Maggiore, Nicola |
| spellingShingle |
Blasi, Alberto Maggiore, Nicola Symmetry Topologically Protected Duality on The Boundary of Maxwell-BF Theory Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) |
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blasi, alberto |
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Blasi, Alberto Maggiore, Nicola 2073-8994 MDPI AG Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/sym11070921 <jats:p>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.</jats:p> Topologically Protected Duality on The Boundary of Maxwell-BF Theory Symmetry |
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10.3390/sym11070921 |
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MDPI AG, 2019 |
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MDPI AG, 2019 |
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2073-8994 |
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2073-8994 |
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| title |
Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| title_unstemmed |
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 |
Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) |
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http://dx.doi.org/10.3390/sym11070921 |
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2019 |
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921 |
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<jats:p>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.</jats:p> |
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| author | Blasi, Alberto, Maggiore, Nicola |
| author_facet | Blasi, Alberto, Maggiore, Nicola, Blasi, Alberto, Maggiore, Nicola |
| author_sort | blasi, alberto |
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| description | <jats:p>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.</jats:p> |
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| spelling | Blasi, Alberto Maggiore, Nicola 2073-8994 MDPI AG Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/sym11070921 <jats:p>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.</jats:p> Topologically Protected Duality on The Boundary of Maxwell-BF Theory Symmetry |
| spellingShingle | Blasi, Alberto, Maggiore, Nicola, Symmetry, Topologically Protected Duality on The Boundary of Maxwell-BF Theory, Physics and Astronomy (miscellaneous), General Mathematics, Chemistry (miscellaneous), Computer Science (miscellaneous) |
| 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 |
| title_unstemmed | Topologically Protected Duality on The Boundary of Maxwell-BF Theory |
| topic | Physics and Astronomy (miscellaneous), General Mathematics, Chemistry (miscellaneous), Computer Science (miscellaneous) |
| url | http://dx.doi.org/10.3390/sym11070921 |