Do Electrons Excite the EMF or do the Virtual Photons?

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SUMMARY

Electrons couple to the electromagnetic (EM) field, leading to excitations that can be represented through virtual photons. The coupling constant increases with energy, resulting in phenomena such as the Landau pole, which is addressed within the framework of electroweak theory. Virtual particles, including virtual photons, are not actual particles but rather representations in the Dyson series, which is a divergent series used in quantum field theory. Understanding these concepts is crucial for grasping the interactions between electrons and the EM field.

PREREQUISITES
  • Understanding of electromagnetic field theory
  • Familiarity with quantum field theory concepts
  • Knowledge of the Dyson series and Feynman diagrams
  • Basic principles of electroweak theory
NEXT STEPS
  • Study the coupling constant in quantum electrodynamics
  • Learn about the Landau pole and its implications in particle physics
  • Explore the Dyson series and its applications in quantum field theory
  • Investigate the electroweak theory and its role in particle interactions
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the fundamental interactions of particles and fields in theoretical physics.

Ryan Reed
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Do electrons excite the EM field or do they just create virtual photons that do? If you could only see EMF excitations, would you see the electrons or virtual photons coming from the electrons?
 
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Ryan Reed said:
Do electrons excite the EM field or do they just create virtual photons that do? If you could only see EMF excitations, would you see the electrons or virtual photons coming from the electrons?

Electrons couple to the EM field:
https://en.wikipedia.org/wiki/Coupling_constant

I don't know what you mean by excite but as you can see from the above the coupling increases with increasing energy and results in the pathological Landau pole. But long before that energy is reached the electroweak theory takes over. I think the electroweak theory has its own Landau pole but I am not conversant enough to comment with any authority.

The other thing you need to understand is virtual particles are not particles - they are simply the pictorial representation of terms in what's called the Dyson series:
https://en.wikipedia.org/wiki/Feynman_diagram

Just as an aside such series are in fact divergent. How to make sense of them is an interesting issue addressed in the following lectures I am currently working through:


Thanks
Bill
 
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