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Number of distinct diagrams.

by whynothis
Tags: diagrams, distinct, number
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Aug7-08, 11:18 AM
P: 15
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:

[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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Jan4-11, 09:06 PM
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to be honest, i have no idea.
Jan5-11, 07:29 AM
Sci Advisor
P: 2,470
From personal experience, you just keep working these out by hand until you see a pattern. Or you get to a point where you give up. If there is a better way, I have not found it.

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