Are equations of motion invariant under gauge transformations?

Question

We know that all actions are invariant under their gauge transformations. Are the equations of motion also invariant under the gauge transformations?

If yes, can you show a mathematical proof (instead of just saying in words)?

Possible duplicate: https://physics.stackexchange.com/q/51327/2451 — Qmechanic, Apr 30 '23 at 05:17

score 1 · Answer 1 · answered Apr 30 '23 at 05:01

1

Yes. Since the action is the same the path of least action is also the same

answered Apr 30 '23 at 05:01

Dale

1 Answers1