2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57283As is well known, there are different Lagrangians which lead to the same Euler-Lagrange operator. The gauge invariance of a Lagrangian guarantees that of the corresponding Euler-Lagrange operator, but not vice versa. We show that the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian results in Noether conservation laws.3 pagesMathematical PhysicsHigh Energy Physics - Theorytext