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

arXiv eprints
 Pub Date:
 April 2019
 arXiv:
 arXiv:1905.00714
 Bibcode:
 2019arXiv190500714F
 Keywords:

 Physics  Classical Physics
 EPrint:
 3 pages, 0 figures