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Covariant conservation laws, local invariance and Noether's second theorem

N. Barros e Sá, M. Pinto, T Trindade

Abstract

We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether's second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law necessarily stems from the local invariance of the theory. We illustrate our results with the examples of well-known theories.

Keywords
Law and Legal Studies / Law

The European Physical Journal C
Volume 86, Issue 612
2026 June

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