Counting Feynman Diagrams with n Vertices

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SUMMARY

The discussion focuses on the systematic counting of Feynman diagrams with vertices less than or equal to n, specifically in the context of quantum field theory (QFT). It is established that there is no straightforward method to determine the number of distinct Feynman diagrams for a given order; instead, one must compute all possible unconnected Green functions using the approximation for the generating functional. Additionally, the distinction between two Feynman diagrams related to Compton scattering is clarified, confirming that they are indeed different contributions.

PREREQUISITES
  • Quantum Field Theory (QFT) fundamentals
  • Understanding of Feynman diagrams
  • Knowledge of Green functions
  • Familiarity with generating functionals in theoretical physics
NEXT STEPS
  • Study the computation of unconnected Green functions in QFT
  • Explore the role of generating functionals in particle physics
  • Learn about the specific contributions of Feynman diagrams in Compton scattering
  • Investigate systematic methods for counting Feynman diagrams
USEFUL FOR

The discussion is beneficial for theoretical physicists, quantum field theorists, and students studying particle physics who are interested in the intricacies of Feynman diagrams and their applications in QFT.

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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