Current Status of Electromagnetic Triviality

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Discussion Overview

The discussion revolves around the concept of electromagnetic triviality, particularly in the context of quantum field theory and the Landau pole. Participants explore whether the results regarding the triviality of electromagnetism hold at higher loop levels, nonperturbatively, or when embedded within the electroweak force or the standard model. The scope includes theoretical considerations and references to specific research papers.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant calculates the standard Landau pole result at one loop, suggesting that electromagnetic force in the continuum is trivial, and questions if this holds at higher loops or nonperturbatively.
  • Another participant notes that the Landau pole in the context of the standard model appears at energies beyond the Planck scale at finite temperatures, reverting to the one loop bubble at zero temperature.
  • Several participants discuss the availability of PDFs related to the topic, with some asserting that certain links are not open access while others claim they are, leading to a debate about the reliability of the sources provided.
  • There is a mention of an illegal link for accessing a PDF, indicating uncertainty about the legality and accessibility of the research materials.
  • Participants express confusion over the citation of sources, questioning why certain links are used instead of official sources.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the status of the PDFs' accessibility, with conflicting views on which sources are open access. The theoretical aspects of electromagnetic triviality and the implications of the Landau pole also remain contested.

Contextual Notes

There are unresolved issues regarding the assumptions made about the Landau pole's behavior at different temperatures and the implications of embedding electromagnetism in larger frameworks like the standard model. The discussion also highlights the dependence on the definitions of open access in the context of academic resources.

Son Goku
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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?
 
  • #10
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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