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A Flow of charge on fermion propagator

  1. Feb 17, 2017 #1
    The momentum-space fermion propagator in the free Dirac theory is given by

    7cb4563d83.png

    The arrow on the fermion propagator is said to represent the flow of charge.

    How can we derive this statement quantitatively from the Dirac Lagrangian?

    What is the quantitative form of the charge being referred to here?
     
  2. jcsd
  3. Feb 18, 2017 #2

    Vanadium 50

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    You can't. The arrow is a mnemonic device so you get the right wavefunctions on the external lines. The propagator doesn't care if its for a fermion or an antifermion, but the better mnemonic is "make sure the arrows follow a path" and not "make sure the arrows follow a path, except where you don't need to".
     
    Last edited by a moderator: Feb 18, 2017
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