经典规范原理--从场论到经典力学
Classical gauge principle -- From field theories to classical mechanics
摘要：
在本文中，我们讨论如何规范原理可以应用到经典力学模型与有限的自由度。模型的局部不变性被理解为在由任意函数参数化的变换的矩阵李群的作用下的不变性。它是正式提出如何将此属性可以引入到这样的系统中，其次是现代应用程序。此外，描述经典力学系统的局部不变性的拉格朗日方程被分离在等价类，根据他们的局部结构。
英文摘要：
In this paper we discuss how the gauge principle can be applied to classical-mechanics models with finite degrees of freedom. The local invariance of a model is understood as its invariance under the action of a matrix Lie group of transformations parametrized by arbitrary functions. It is formally presented how this property can be introduced in such systems, followed by modern applications. Furthermore, Lagrangians describing classical-mechanics systems with local invariance are separated in equivalence classes according to their local structures.
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