Confinement in QED

  • Thread starter carroza
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What would happen if the fine structure constant alpha was larger?
Will charge be confined, as colour is in QCD?

A simple argument, based on non-relativistic quantum mechanics, is that the binding energy of an electron in a hidrogen atom is given by E= - 1/2 (alpha)² m_e c². If alpha=2, instead of alpha=1/137, one could produce a pair electron-positron, bind the electron to the proton, and put the positron faw away. This could be a mechanism to surround any free particle with electrons or positrons (or muons, taus ..).

Of course, this argument does not take into account relativity, or quantum field effects. So, my question is whether it is there some theoretical treatment of non-perturbative QED, hinting to the presence of confinement .

I guess that I would like to understand if confinement is something related to the strength of the coupling constant, or something associated to the non-abelian nature of theories such as QCD.


Thanks.
 

Answers and Replies

  • #2
1,746
49
What would happen if the fine structure constant alpha was larger?
Will charge be confined, as colour is in QCD?

A simple argument, based on non-relativistic quantum mechanics, is that the binding energy of an electron in a hidrogen atom is given by E= - 1/2 (alpha)² m_e c². If alpha=2, instead of alpha=1/137, one could produce a pair electron-positron, bind the electron to the proton, and put the positron faw away. This could be a mechanism to surround any free particle with electrons or positrons (or muons, taus ..).

Of course, this argument does not take into account relativity, or quantum field effects. So, my question is whether it is there some theoretical treatment of non-perturbative QED, hinting to the presence of confinement .

I guess that I would like to understand if confinement is something related to the strength of the coupling constant, or something associated to the non-abelian nature of theories such as QCD.


Thanks.
I don't think what you described is a conventional view on confinement. However, this approach was investigated a long time ago by V. N. Gribov. See his "Orsay lectures on confinement"
http://www.arxiv.org/abs/hep-ph/9403218
http://www.arxiv.org/abs/hep-ph/9403322
http://www.arxiv.org/abs/hep-ph/9905285

Eugene.
 
  • #3
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Thank you very much for the references, which were indeeed very useful.
Could you tell me which is the present conventional view of confinement?

Carroza
 
  • #4
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49
Thank you very much for the references, which were indeeed very useful.
Could you tell me which is the present conventional view of confinement?
No, I'm afraid not. I am not an expert in QCD and I don't want to mislead you. The best I can do is to direct you to Wikipedia.

Eugene.
 

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