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Noether's Theorems and Gauge Symmetries

Katherine Brading·Harvey R. Brown
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Abstract

Consideration of the Noether variational problem for any theory whose action is invariant under global and/or local gauge transformations leads to three distinct theorems. These include the familiar Noether theorem, but also two equally important but much less well-known results. We present, in a general form, all the main results relating to the Noether variational problem for gauge theories, and we show the relationships between them. These results hold for both Abelian and non-Abelian gauge theories.

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Katherine Brading, Harvey R. Brown. 2000-09-08. Noether's Theorems and Gauge Symmetries. https://arxiv.org/abs/hep-th/0009058

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