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arXiv · 2109.01264

Classical gauge principle -- From field theories to classical mechanics

B. F. Rizzuti·G. F. Vasconcelos Jr
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Abstract

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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B. F. Rizzuti, G. F. Vasconcelos Jr. 2021-09-03. Classical gauge principle -- From field theories to classical mechanics. https://doi.org/10.1007/s13538-022-01070-2

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