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Definition of the dressed propagator

  1. Nov 6, 2006 #1

    hellfire

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    In section 7.3 of Ryder's "Quantum Field Theory", the "complete" or "dressed" propagator is defined to be the two-point function to all orders of the perturbation expansion. It is denoted in (7.71) as [tex]G_c^{(2)}(x, y)[/tex]. It changes the bare mass to the physical mass. My question is, why aren't contributions from other n-point functions considered for this definition? For example, the 4-point function contains also disconnected graphs that modify the propagator.
     
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  3. Nov 6, 2006 #2

    dextercioby

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    Why should they be? Both for a free and an interacting theory the propagator is the 2 point function by definition (connected or disconnected it doesn't matter, since there are only 2 spacetime points).

    Daniel.
     
  4. Nov 6, 2006 #3

    hellfire

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    Thanks, this makes sense. I was somehow confused, but your comment answers exactly my question.
     
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