Feynman Diagrams associated with the generating function of this free scalar field Lagrangian

  • #1
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Summary:

What are the Feynman diagrams associated with the generating function of this free scalar field Lagrangian?
With free part L=-½(∂Φ)^2 -½m^2 Φ^2
and interaction term L=½gΦ^2


Any help would be appreciated, thank you.
 

Answers and Replies

  • #2
vanhees71
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You have only a vertex with two legs. It's obvious that you get the exact solution by resumming Dyson's equation for the two-point Green's function, i.e., ##G=G_0+G_0 \Sigma G## with the self-energy ##\Sigma## which is trivial in this case. You know of course what you must get, namely a free particle with mass ##M## with ##M^2=m^2-g##.
 

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