What are the disconnected Feynman diagrams in QFT?

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SUMMARY

The discussion focuses on disconnected Feynman diagrams in Quantum Field Theory (QFT), specifically referencing Srednicki's book. In Figure 9.2, Srednicki illustrates connected diagrams with energy E=0 and vertex count V=4. The key takeaway is that the contributions of disconnected diagrams can be determined by calculating the product of the contributions from their connected components, as indicated in Equation (9.12).

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with Feynman diagrams
  • Knowledge of Srednicki's QFT textbook
  • Basic grasp of connected and disconnected graph theory concepts
NEXT STEPS
  • Study the implications of Equation (9.12) in Srednicki's QFT
  • Explore the role of connected components in Feynman diagrams
  • Research advanced topics in Quantum Field Theory
  • Examine examples of disconnected diagrams in QFT literature
USEFUL FOR

Students and researchers in Quantum Field Theory, physicists interested in Feynman diagram analysis, and anyone seeking to deepen their understanding of connected and disconnected graph contributions in particle physics.

omephy
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I am learning QFT from Srednicki's book.
However, in Figure 9.2 Srednicki has given all connected diagrams with E=0 and V=4. Are there any way to know the disconnected diagrams? Can you tell me what they are.
 
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Sure, see Eq. (9.12).
 
Can you please explain this for me?
 
Not really much to explain. The point is, we only need to calculate the contributions for the connected graphs, because... Because any disconnected graph consists of one or more connected components, and we get its contribution just by taking the product of its pieces.
 

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