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I have a question about the scalar quantum field theory and potential $V(\phi) = \alpha \frac{\phi^3}{3!} + \beta \frac{\phi^4}{4!}$. I want to find some of the possible connected one- and two-loop graphs, which contribute to $<\phi(x_1) \phi(x_2)>$ and to $<\phi(x_1) \phi(x_2) \phi(x_3)>$. I already know what the basic interaction vertices look like, but I don't know how to find the corrections. Any tips are welcome, is there a systematic way to derive the possible graphs?

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