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    $\begingroup$ If the fields did not have a $U(1)$ gauge symmetry, then the conserved Noether charge associated to the global version of the symmetry would not be conserved. $\endgroup$
    – JamalS
    Commented Mar 17, 2014 at 14:23
  • $\begingroup$ Is possible to expand on the topic of conserved Noether charge? $\endgroup$
    – linuxfreebird
    Commented Mar 17, 2014 at 14:26
  • $\begingroup$ Possible duplicate of physics.stackexchange.com/q/90119 $\endgroup$
    – Kyle Kanos
    Commented Mar 17, 2014 at 14:42