Why 2-point correlation function diagram have only two external legs?

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SUMMARY

The discussion centers on the nature of 2-point correlation function diagrams in quantum field theory, specifically addressing why they possess only two external lines. This is attributed to the Wick theorem, which dictates that correlation functions with more than two external legs would yield multiple external lines. The conversation also touches on the existence of odd-numbered point correlation functions, which are distinct from zero due to the properties of normal operators in the context of Wick's theorem.

PREREQUISITES
  • Understanding of Wick's theorem in quantum field theory
  • Familiarity with correlation functions and Green functions
  • Knowledge of normal operators in quantum mechanics
  • Basic concepts of quantum field theory diagrams
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  • Research the implications of Wick's theorem on higher-point correlation functions
  • Study the properties and applications of N-point Green functions
  • Explore the significance of odd-point correlation functions in quantum field theory
  • Learn about the role of normal operators in quantum mechanics
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Students and researchers in quantum field theory, theoretical physicists, and anyone interested in the mathematical foundations of particle interactions.

ndung200790
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Please teach me this:
Why 2-point correlation function diagrams have only two external lines.Because of Wick theorem they would have many external legs.
Another thing is whether are there odd number point correlation functions(meaning they are different from 0).
Thank you very much in advanced.
 
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Now,I have understood that,because of normal operator(N: operator) being in Wick theorem statement.
 
Well, because of the number of external 'legs' (2), they are called '2-point correlation functions', or '2-point Green functions'. If they had N-external 'legs', they would be called 'N-point correlation functions/Green functions'.
 

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