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

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Discussion Overview

The discussion centers on the relationship between the wave function and vertex function of mesons, exploring whether they are equivalent or if one can be expressed in terms of the other. The scope includes theoretical aspects related to particle physics and field theories.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks clarification on the relationship between wave functions and vertex functions of mesons, noting discrepancies in journal articles regarding their expressions.
  • Another participant explains that vertex functions are used in higher order perturbation theory in renormalizable field theories but questions the relevance of these functions to mesons, which are not considered fundamental particles in the standard model.
  • A different participant references the Bethe-Salpeter wave function, suggesting that it can be expressed in terms of the hadron quark-antiquark vertex function of mesons, providing a specific journal reference for further reading.
  • One participant expresses interest in the provided link but feels unqualified to contribute further to the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between wave functions and vertex functions of mesons, with differing views on their relevance and connection.

Contextual Notes

There are unresolved questions regarding the definitions and contexts in which wave functions and vertex functions are applied, as well as the implications of treating mesons in the framework of the standard model.

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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