General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners
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 (TQ...
Збережено в:
| Дата: | 2015 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147116 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-1471162019-02-14T01:23:39Z General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners Díaz-Marín, H.G. 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. 2015 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Díaz-Marín, H.G. |
| spellingShingle |
Díaz-Marín, H.G. General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Díaz-Marín, H.G. |
| author_sort |
Díaz-Marín, H.G. |
| title |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners |
| title_short |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners |
| title_full |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners |
| title_fullStr |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners |
| title_full_unstemmed |
General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners |
| title_sort |
general boundary formulation for n-dimensional classical abelian theory with corners |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147116 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT diazmarinhg generalboundaryformulationforndimensionalclassicalabeliantheorywithcorners |
| first_indexed |
2023-05-20T17:26:37Z |
| last_indexed |
2023-05-20T17:26:37Z |
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1796153297813372928 |