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Classical gauge principle -- From field theories to classical mechanics

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 نشر من قبل Bruno Rizzuti
 تاريخ النشر 2021
  مجال البحث فيزياء
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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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