Lie groupoids in classical field theory II: Gauge theories, minimal coupling and Utiyama's theorem
نویسندگان
چکیده
In the two papers of this series, we initiate development a new approach to implementing concept symmetry in classical field theory, based on replacing Lie groups/algebras by groupoids/algebroids, which are appropriate mathematical tools describe local symmetries when gauge transformations combined with space-time transformations. second part, shall adapt formalism developed first paper context theories and deal minimal coupling Utiyama's theorem.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2021
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2021.104340