In the two papers of this series, we initiate the development of a new approach to implementing the concept of symmetry in classical field theory, based on replacing Lie groups/algebras by Lie groupoids/algebroids, which are the appropriate mathematical tools to describe local symmetries when gauge transformations are combined with space-time transformations.

In this second part, we shall adapt the formalism developed in the first paper to the context of gauge theories and deal with minimal coupling and Utiyama's theorem.

中文翻译：

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经典场论中的 Lie groupoids II：规范理论、最小耦合和 Utiyama 定理

在本系列的两篇论文中，我们开始开发一种新方法来实现经典场论中的对称性概念，基于用李群/代数替换李群/代数，这是描述局部对称性的合适数学工具当规范变换与时空变换相结合时。

在第二部分，我们将在第一篇论文中发展的形式主义适应规范理论的背景，并处理最小耦合和 Utiyama 定理。