Feynman diagrams for more than two particles

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Discussion Overview

The discussion centers on the applicability of Feynman diagrams to interactions involving more than two particles, particularly in the context of modeling many-body scattering cross-sections. Participants explore theoretical implications and specific scenarios where these diagrams might be used.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether Feynman diagrams are applicable to interactions involving more than two particles, suggesting this could aid in modeling many-body scattering cross-sections.
  • Another participant asserts that Feynman diagrams can accommodate any type of interaction, noting that different kinds of vertices are used for various interactions, but highlights that very high point interactions may be irrelevant in the renormalization group context.
  • A third participant seeks clarification on the concept of many-body scattering, distinguishing between scenarios with m ingoing and n outgoing particles versus m+n particles at a single vertex, and suggests that the latter is rarely realized in physical models.
  • This participant also mentions specific theoretical frameworks, such as f(R) gravity theories and non-linear sigma models, where such interactions might occur, but emphasizes that these should be viewed as approximations.
  • Another participant proposes that the photoelectric effect cross section could be computed using Feynman diagrams, implying a practical application of the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility and relevance of using Feynman diagrams for many-body interactions, with no consensus reached on the specific nature of these interactions or their implications.

Contextual Notes

Participants note limitations regarding the relevance of high point interactions in low energy scattering processes and the potential suppression of higher-order processes by renormalization group effects and phase space considerations.

radoo
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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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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?
 
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
 
I was thinking that the photoelectric effect cross section could be computed using Feynman diagrams...
 

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