Noether's Theorems and Gauge Symmetries

2000/09/08 by Katherine Brading, Brading, Katherine, Harvey R. Brown +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0009058

16 pages, 0 figures

arxiv created 2000/09/08 · arxiv updated 2009/11/30

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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