Counting Feynman Diagrams with n Vertices

AI Thread Summary
There is no systematic method to count all possible Feynman diagrams with vertices less than or equal to n in quantum field theory (QFT). To determine the number of distinct diagrams, one must compute all possible unconnected Green functions using the generating functional approximation. The discussion also clarifies that two specific Feynman diagrams related to Compton scattering are indeed distinct contributions. This highlights the complexity of diagram counting in QFT. Overall, the conversation emphasizes the challenges in quantifying Feynman diagrams systematically.
vincentchan
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Is there a systematical way to count all the possible feynman diagram with vertices less than or equal to n...
 
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one more question... see the attachment... are these two feynman diagram the same?
 

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They're not.There are the 2 (distinct) contributions to the Compton scattering of electrons (if i saw well,or positrons in the other case).

To the first question:nope,in general u cannot tell how many distinct Feynman diagrams a QFT has in a certain order.U have to compute all possible unconnected Green functions,using the approximation for the generating functional.

Daniel.
 
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