http://prola.aps.org/abstract/PRA/v58/i5/p3439_1 (or the preprint http://arxiv.org/abs/hep-th/9801069 if you do not have a subscription to PROLA).

You can also read my post about this matter that explains plainly what is going on here

https://marcofrasca.wordpress.com/2008/06/26/strong-perturbation-theory/

What has been missed so far with QCD is the great chance to make a substantial change of paradigm in mathematical-physics that is overdue when one met with difficulties like these. I hope to have given some hints to the community in this direction and this is also the main reason why I opened up this blog.

Ciao,

Marco

]]>The idea seems indeed intriguing: infrared QCD transforms spin 1 gluons into spinless glueballs through a transition that is reminiscent of BE condensation. If I understand your argument correctly, Yang-Mills theory effectively becomes a scalar phi^4 model in the infrared limit.

I might be missing something here, but I think that there are some challenges that need to be resolved for this idea to gain ground. If you take the viewpoint that glueball self-interaction is very weak (while the glue coupling to quarks remain strong to preserve confinement), then a fraction of glueballs must be free to flow through space and they should have been detected as free objects so far. By contrast, if you assume that both gluon self-interaction and gluon-quark coupling are strong, then you have a strongly coupled self-interacting scalar field theory (similar to a Higgs background) in interavtion with quarks. But then what prevents gluons to gain large mass via unsuppressed quantum corrections? (Higgs mass is protected to gain quadrative mass corrections through SUSY).

Besides, a strongly coupled glue theory in the infrared may be far different from an equilibrium quantum field model. One may need to apply non-equilibrium field theory that leads to completely different results from what the standard theory of propagators yields.

Yours,

Ervin

]]>