English

Noether's Theorems and Gauge Symmetries

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0009058,
  title  = {Noether's Theorems and Gauge Symmetries},
  author = {Katherine Brading and Harvey R. Brown},
  journal= {arXiv preprint arXiv:hep-th/0009058},
  year   = {2007}
}

Comments

16 pages, 0 figures

R2 v1 2026-07-22T14:59:49.713Z