General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners
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| Creator |
Díaz-Marín, H.G.
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| Description |
We propose a general reduction procedure for classical field theories provided with abelian gauge symmetries in a Lagrangian setting. These ideas come from an axiomatic presentation of the general boundary formulation (GBF) of field theories, mostly inspired by topological quantum field theories (TQFT). We construct abelian Yang-Mills theories using this framework. We treat the case for space-time manifolds with smooth boundary components as well as the case of manifolds with corners. This treatment is the GBF analogue of extended TQFTs. The aim for developing this classical formalism is to accomplish, in a future work, geometric quantization at least for the abelian case.
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| Date |
2019-02-13T16:56:24Z
2019-02-13T16:56:24Z 2015 |
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| Type |
Article
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| Identifier |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners / H.G. Díaz-Marín // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 28 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53D30; 58E15; 58E30; 81T13 DOI:10.3842/SIGMA.2015.048 http://dspace.nbuv.gov.ua/handle/123456789/147116 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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