I agree with your non-perturbative definition. Now, I have to suppose that some dependence on the coupling is in these states. You should recover ordinary plane wave description when the coupling goes to zero. The states you get when the coupling goes to infinity are massive. This I mean by a...
So far, we do not know if the states that diagonalize Yang-Mills quantum field theory at lower energies, with the coupling increasingly large, are the same of those used at higher energies and that we call gluons, with the coupling increasingly small. Massless gluons are good states when...
What we forget here, about Higgs particle, is that the stake is our understanding of mass. SM requires a mechanism to produce masses to the different fields entering in it. It is interesting to note that this situation is rather similar to that of QCD, that is part of SM, at lower energies. The...
Dear Humanino,
There are a lot of reasons why some papers get overlooked that I do not want to discuss here. On the other side I do not want to become a way to publicize others papers. Anyhow, for completeness reasons I cite you some published papers that address directly this matter...
The point is that people claiming to have a proof have also their papers published in respectful journals and have a significant number of publications.
Last but not least, this is not just a mathematical problem as to understand how mass arises is a physics problem that has to receive a...
Here and there some rumors come out about this relevant problem. I have read the following article in Wikipedia
http://en.wikipedia.org/wiki/Yang–Mills_existence_and_mass_gap
and the talk page
http://en.wikipedia.org/wiki/Talk:Yang–Mills_existence_and_mass_gap
but people cited there...