2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50228Consideration 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.16 pages, 0 figuresHigh Energy Physics - Theorytext