Noether's Theorems and Gauge Symmetries

Details Noether's Theorems and Gauge Symmetries Noether's Theorems and Gauge Symmetries

2000-09-08

arxiv.org/abs/hep-th/0009058v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 0 figures

Scientific paper

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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