Feynman diagrams for more than two particles

In summary, Feynman diagrams are still applicable to more than two particle interactions and can handle any type of interaction by using different types of vertices. However, high point interactions may be irrelevant in low energy scattering processes. The photoelectric effect cross section could potentially be computed using Feynman diagrams, but it depends on the type of interaction being modeled.
  • #1
radoo
5
0
Are the Feynman diagrams still applicable to more than two particles interactions? This would be very helpful in modelling many-body scattering cross-sections.
 
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  • #2
Feynman diagrams can handle any type of interaction you like, you simply have a different kind of vertex. However, very high point interactions are often irrelevant in the renormalization group sense and so contribute little to low energy scattering processes.

What sort of many-body scattering did you have in mind?
 
  • #3
What dou you mean by many-body scattering?

Are there m ingoing and n outgoing particles of a general "interaction blob"? Or are there really m+n particles meeting at one vertex?

The former one is simply a higher-oder process which is typically highly supressed by renormalization group and phase space. The latter one is rarely realized in physical models. You can get something like that in f(R) gravity theories (which some people find rather strange as a QFT) or in non-linear sigma models or effective modelsfor the string interaction, which are to be considered as approximations only
 
  • #4
I was thinking that the photoelectric effect cross section could be computed using Feynman diagrams...
 

What are Feynman diagrams for more than two particles?

Feynman diagrams are graphical representations of mathematical equations that are used to describe and visualize the interactions between particles in quantum field theory. They are commonly used in particle physics to model the behavior of subatomic particles.

What is the purpose of using Feynman diagrams for more than two particles?

The main purpose of using Feynman diagrams for more than two particles is to simplify complex mathematical equations and make them easier to understand and analyze. These diagrams also allow scientists to predict the outcome of particle interactions and make calculations for experiments.

How are Feynman diagrams for more than two particles constructed?

Feynman diagrams for more than two particles are constructed by representing each particle as a line in the diagram and using arrows to indicate their direction of motion. Vertices, which represent the interactions between particles, are also included in the diagram.

What is the significance of the direction of the arrows in Feynman diagrams for more than two particles?

The direction of the arrows in Feynman diagrams for more than two particles represents the flow of time. Arrows pointing to the right indicate particles moving forward in time, while arrows pointing to the left represent antiparticles moving backwards in time.

What are the limitations of using Feynman diagrams for more than two particles?

Although Feynman diagrams are a powerful tool for understanding particle interactions, they have some limitations. They do not take into account the effects of gravity and they are not applicable to all types of interactions, such as those involving strong nuclear forces. Additionally, Feynman diagrams can become increasingly complex when representing interactions with more than two particles.

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