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i was wondering if anyone could give an explicit calculation or show a link that shows the proof to Furry's theorem. showing how the vacuum expectation value of any odd number of electromagnetic currents vanishes. in particular the case for $n=3$.

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  • $\begingroup$ Wait, are you after the n=3 or the n=1 case? $\endgroup$ – Michael Oct 1 '13 at 13:54
  • $\begingroup$ i was after the photon one loop n=3 case. $\endgroup$ – alejandro123 Oct 1 '13 at 14:24
  • $\begingroup$ Did you just try to copy the question from here, almost word for word?? physics.stackexchange.com/q/54812 $\endgroup$ – nervxxx Oct 1 '13 at 21:31
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    $\begingroup$ @alejandro123 : See a short proof here in .pdf format. It is the first result in google. $\endgroup$ – Flint72 May 23 '14 at 19:46
  • $\begingroup$ I was looking for an actual proof carrying out the calculation of the integral from Feynman's diagram. $\endgroup$ – alejandro123 May 26 '14 at 10:51
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This comes from the fact that the electromagnetic current changes sign under charge conjugation i.e $Cj^{\mu\nu}C^{\dagger} = -j^{\mu\nu}$ and thus the vaccum expectation of all diagrams withodd number of em legs vanishes

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