What Is the Relationship Between Vertex Function and Wave Function of Mesons?

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SUMMARY

The relationship between the vertex function and wave function of mesons is complex and not straightforward. Vertex functions are utilized in renormalizable field theories, particularly in higher-order perturbation theory, as corrections to vertices in Feynman diagrams. However, mesons are not treated as fundamental particles in the standard model, which focuses on quarks and leptons. The Bethe-Salpeter wave function can express the hadron quark-antiquark vertex function of mesons, as noted in the journal by A.N. Mitra and S. Bhatnagar.

PREREQUISITES
  • Understanding of renormalizable field theories
  • Familiarity with Feynman diagrams and perturbation theory
  • Knowledge of the standard model of particle physics
  • Concept of Bethe-Salpeter wave functions
NEXT STEPS
  • Research the Bethe-Salpeter equation in quantum field theory
  • Study the role of vertex functions in higher-order perturbation theory
  • Examine the implications of quark-antiquark interactions in meson physics
  • Read A.N. Mitra and S. Bhatnagar's paper in Intl. J. Mod. Phys. A7, 121(1992)
USEFUL FOR

Particle physicists, theoretical physicists, and researchers studying meson interactions and quantum field theory will benefit from this discussion.

Hluf
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I need to know the relation of wave function and vertex function of mesons. Any one give me an explanation of them. Are they same? in some journals their expressions are the same and in other papers the wave function expresses as a function of the vertex function of meson. Which one is the correct? THANK YOU!
 
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I find it difficult to get a clue what you are asking about. Vertex functions appear in renormalizable field theories in higher order pertubation theory as corrections to vertices in Feynman diagrams.

However, there is no such field theory dealing mesons as fundamental particles - the standard model is about quarks and leptons.

I don't see an obvious relation between these vertex functions and the wave function of a particle.

Can you give a link?
 
For instance, on the leptonic decays of mesons, the Bethe-Salpeter wave function expresses in terms of the hadron quark-antiquark vertex function of mesons. see the following journal on google;

A.N. Mitra, S. Bhatnagar, Intl. J. Mod. Phys. A7, 121(1992)
 
Thanks for the link - interesting stuff. But I do not feel competent enough to comment on this.
 

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