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arXiv · 1905.00714

The Noether charges of all analytic Lagrangians associated with a scale invariant action

Erik D. Fagerholm·Robert Leech
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Abstract

Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temporal scale transformation of such a system can lead to a symmetry by leaving the action unchanged. We then derive the form of all analytic Lagrangians that possess such a symmetry under change of scale. Finally, we write down the Noether charges of all analytic Lagrangians that are associated with a scale invariant action.

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Erik D. Fagerholm, Robert Leech. 2019-04-29. The Noether charges of all analytic Lagrangians associated with a scale invariant action. https://arxiv.org/abs/1905.00714

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