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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
General Boundary Formulation for $n$-Dimensional Classical Abelian Theory with Corners
Homero G. Díaz-Maríinab a Escuela Nacional de Ingeniería y Ciencias, Instituto Tecnológico y de Estudios Superiores de Monterrey, C.P. 58350 Morelia, México
b Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, C.P. 58190 Morelia, México
Аннотация:
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.
Ключевые слова:
gauge fields; action; manifolds with corners.
Поступила: 30 октября 2014 г.; в окончательном варианте 4 июня 2015 г.; опубликована 24 июня 2015 г.
Образец цитирования:
Homero G. Díaz-Maríin, “General Boundary Formulation for $n$-Dimensional Classical Abelian Theory with Corners”, SIGMA, 11 (2015), 048, 35 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1029 https://www.mathnet.ru/rus/sigma/v11/p48
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