Vertex Function & Wave Function of Mesons: Exploring Their Relation

In summary, there is a lack of clarity on the relation between wave function and vertex function of mesons. Some sources suggest that they are the same, while others express them differently. However, there is no clear answer as to which one is correct. Additionally, there is no direct connection between these two concepts in the standard model, which focuses on quarks and leptons rather than mesons.
  • #1
Hluf
22
0
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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  • #2
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?
 
  • #3
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)
 
  • #4
Thanks for the link - interesting stuff. But I do not feel competent enough to comment on this.
 

1. What is the difference between the vertex function and the wave function of a meson?

The vertex function of a meson describes the strength of the interaction between the meson and other particles, while the wave function describes the spatial distribution of the meson's quarks and antiquarks.

2. How are the vertex function and the wave function related?

The vertex function and the wave function are related through a mathematical formula known as the Bethe-Salpeter equation, which describes the dynamics of the meson's quarks and antiquarks.

3. What is the significance of studying the relation between the vertex function and the wave function?

Understanding the relation between the vertex function and the wave function is crucial in accurately describing the behavior of mesons and predicting their interactions with other particles. It also provides insights into the underlying structure of mesons and the fundamental forces that govern them.

4. How do we explore the relation between the vertex function and the wave function?

This can be done through various theoretical and experimental methods, such as solving the Bethe-Salpeter equation, analyzing data from particle accelerators, and conducting precision measurements of meson properties.

5. What are some potential applications of our understanding of the vertex function and wave function of mesons?

A deeper understanding of the relation between the vertex function and the wave function of mesons could lead to advancements in fields such as particle physics, nuclear physics, and materials science. It could also aid in the development of new technologies, such as more efficient particle accelerators and improved medical imaging techniques.

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