I was just trying to think of a simple relation to find the number of distinct diagrams to a given order within a theory (specifically I am thinking of a [tex]\phi^{4}[/tex] scalar theory). I am reading Tony Zee's book and am working through his "baby problem" where he expands the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{-\inf}^{\inf} dq e^{-\frac{1}{2}m^{2}q^{2}+Jq-\frac{\lambda}{4!}q^{4}[/tex]

in both in powers of [tex]\lambda[/tex] and J so that we can pick out diagrams to a specific order in both.

So is there a way to find the total number of distinct diagrams to order [tex](\lambda^{n},J^{m})[/tex]?

Thanks in Advanced

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# Number of distinct diagrams.

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