0
$\begingroup$

I usually manually compute most of the Feynman diagrams that I need for my assignment by hand. But lately, I've had to deal with $O(\lambda^2)$ with interactions involving both $\phi^3$ and $\phi^4$.

I boil down the problem to finding the possible number of Feynman diagrams visually given I know the No. of External Points, No. of $\phi^3 \equiv V_3$ and $\phi^4 \equiv V_4$ vertices's and No. of propagators.

For example, when

$E=2,P=4$ and $V_3=2,V_4=0$

$E=3$, $P=6$ and $V_3=3,V_4=0$.

So given this, I can immediately guess a diagrams of the following respectively as.

enter image description here

How do I make the computer draw ALL such possible diagrams (if any) for an arbitrary $E,P,V_3,V_4$

Improve this question
$\endgroup$
2
  • $\begingroup$ Okay, so maybe this is what you are looking for? $\endgroup$
    – Jason B.
    Apr 5, 2016 at 10:18
  • $\begingroup$ Hmm... i wasn't able to implement the concept of "topologies" in that package properly. Is there any simpler function to do so by which I jst have to input the above 3 quantities? It seems to me more like a graph theory problem. I'm not very comfortable with coding in general mathematica. $\endgroup$
    – user34128
    Apr 5, 2016 at 10:27

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.