Feynman diagrams for more than two particles

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...
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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