Interpretation of QED in the Standard Model

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SUMMARY

The discussion centers on the interpretation of Quantum Electrodynamics (QED) within the Standard Model, specifically addressing the distinction between virtual and real photon exchanges. Participants clarify that QED describes interactions of charged particles through photon exchange, with virtual photons being integral to this process. The conversation also highlights that QED operates as a perturbation theory, contrasting with other aspects of the Standard Model, such as the Higgs mechanism and Quantum Chromodynamics (QCD), which exhibit non-perturbative behavior. The confusion arises from the treatment of vacuum energy across different fields in the Standard Model.

PREREQUISITES
  • Understanding of Quantum Electrodynamics (QED)
  • Familiarity with the Standard Model of particle physics
  • Knowledge of perturbation theory in quantum field theory
  • Concept of vacuum expectation value in quantum fields
NEXT STEPS
  • Study the differences between virtual and real photons in QED
  • Explore the role of perturbation theory in quantum field theories
  • Investigate non-perturbative phenomena in the Standard Model, focusing on Higgs and QCD
  • Examine vacuum energy and its implications in various quantum fields
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the intricacies of particle interactions and the foundations of the Standard Model.

Naty1
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Three related questions on which I could use some help:

a] In another thread, Bill_k posted something like:

"Electrons, being charged, could exchange energy by exchanging a virtual photon."

ok, yet I thought electrons usually interacted via the EM field ['real' photons]...

So how do we distinguish between when virtual photon versus and real photon exchange occurs? I started reading Wikipedia to see if I could find out and decided to post here because I got confused:

b] Wikipedia in the QED introduction says

...QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction. ...

Does this mean the exchange of virtual photons lies outside QED?

A few sentences later in Wikipedia:

c]
...In technical terms, QED can be described as a perturbation theory of the electromagnetic quantum vacuum.

Is that correct?

I thought the the Standard Model involves quantum field theory of NON-perturbative behavior; That is, where the vacuum has a non zero vacuum expectation value...For example I have read Higgs and QCD are a/w NON perturbative vacuums...QED is different??

Thanks
 
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Regarding my own question [c]..Wikipedia sez...

Vacuum energy is the zero-point energy of all the fields in space, which in the Standard Model includes the electromagnetic field, other gauge fields, fermionic fields, and the Higgs field.
http://en.wikipedia.org/wiki/Zero-point_energy

apparently I am more confused than I suspected!?? but they all seem to be treated on the same basis...
 

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