Автор |
Mico Durdevic |
Дата выпуска |
1997-03-21 |
dc.description |
A generalization of the classical gauge theory is presented, in which compact quantum groups play the role of the internal symmetry groups. All considerations are performed in the framework of a noncommutative-geometric formalism of locally trivial quantum principal bundles over classical smooth manifolds. Quantum counterparts of classical gauge bundles, and classical gauge transformations, are introduced and investigated. A natural differential calculus on quantum gauge bundles is constructed and analysed. Kinematical and dynamical properties of corresponding gauge theories are discussed. Particular attention is given to the purely quantum phenomena appearing in the formalism, and their physical interpretation. An example with quantum SU(2) group is considered. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Quantum principal bundles and corresponding gauge theories |
Тип |
paper |
DOI |
10.1088/0305-4470/30/6/025 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
30 |
Первая страница |
2027 |
Последняя страница |
2054 |
Аффилиация |
Mico Durdevic; Instituto de Matematicas, UNAM, Area de la Investigacion Cientifica, Universidad Nacional Autonoma de México, Circuito Exterior, Ciudad Universitaria, México DF, CP 04510, México |
Выпуск |
6 |