A Current Status of Electromagnetic Triviality

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The discussion centers on the implications of the Landau pole in quantum electrodynamics (QED) and its relevance at higher loop levels and within the context of the standard model. Participants express curiosity about whether the triviality result holds nonperturbatively and at elevated temperatures, particularly beyond the Planck scale. There is also a focus on the accessibility of referenced PDFs, with some links being questioned for their open access status. Clarifications are made regarding which sources are indeed open access, with a suggestion to use official sources for citations. The conversation highlights ongoing inquiries into the nature of electromagnetic interactions in advanced theoretical frameworks.
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I know how to calculate the standard Landau pole result at one loop suggesting that a quantum field theoretic treatment of the electromagnetic force in the continuum is trivial.

I am wondering does this result continue to hold at higher loops, nonperturbatively or when electromagnetism is embedded in the electroweak force or the standard model. Or at least what is current thinking on the matter?
 
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As a function of temperature the landau Pole in the context of the standard model is at higher energies beyond the Planck scale, in the case of QED . At zero temperature reverting back to the one loop bubble.
 

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Delta Prime said:
As a function of temperature the landau Pole in the context of the standard model is at higher energies beyond the Planck scale, in the case of QED . At zero temperature reverting back to the one loop bubble.
Where did you get the PDFs you attached? You should be giving links so we can check to be sure the PDFs are open access.
 
PeterDonis said:
Good, thanks!
Thank you for the trophy,I'll keep it nice and shiny
 
PeterDonis said:
Where did you get the PDFs you attached? You should be giving links so we can check to be sure the PDFs are open access.
The second one is for sure not open access although there may be an illegal link where you can download it for free ;-)).
 
True. I've not seen that it is open access since I didn't realize the footnote.

So why then not quoting the official source instead of some medicre link?
 
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vanhees71 said:
The second one is for sure not open access
The PDF link at semantic scholar goes to the arxiv preprint, which is open access.
 
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