Question: Using Noether's theorem, find the conserved quantity that results from the invariance of the action (8.43) under a gauge transformation of the four-vector potential. For

Using Noether's theorem, find the conserved quantity that results from the invariance of the action (8.43) under a gauge transformation of the four-vector potential. For this, consider an infinitesimal but arbitrary gauge transformation.

Data from 8.43

dt 22 S = mc [ di 1 2 + 9 [ dt (0+ A ).

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