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    $\begingroup$ Thanks for your answer. So technically speaking if I'm well understanding : if I want to prove charge conservation I have to include matter field $\Psi$ in the model, right? Actually, background sources $J^\mu$ tautologically satisfy continuity equation just because they are sources. Is that right? $\endgroup$
    – dolun
    Commented Jan 29, 2015 at 18:04
  • $\begingroup$ $\uparrow$ Yes. $\endgroup$
    – Qmechanic
    Commented Jan 29, 2015 at 18:56