Yang-Mills and mass gap

Marc Reynaud

What is the situation at the present for this problem? I have seen on arxiv
some papers as hep-th/0511173 that claims to have solved the problem. Could
someone out there describing me the current situation?

FrediFizzx

"Marc Reynaud" <aster30@hotmail.com> wrote in message
news:443ec868$0$18287$4fafbaef@reader1.news.tin.it...
> What is the situation at the present for this problem? I have seen on
arxiv
> some papers as hep-th/0511173 that claims to have solved the problem.
Could
> someone out there describing me the current situation?

This is one of the Clay Mathematics Institute's Millennium Prizes so you
would expect there might something more recent on their site but it
seems there is only this review from 2004,

http://www.claymath.org/millennium/Y...Theory/ym2.pdf

http://www.claymath.org/millennium/Yang-Mills_Theory/

I am not so sure that hep-th/0511173 solves the problem completely.
More study is needed. ;-)

FrediFizzx

http://www.vacuum-physics.com/QVC/qu...uum_charge.pdf
or postscript
http://www.vacuum-physics.com/QVC/qu...cuum_charge.ps

http://www.vacuum-physics.com

Arnold Neumaier

Marc Reynaud wrote:
> What is the situation at the present for this problem? I have seen on arxiv
> some papers as hep-th/0511173 that claims to have solved the problem. Could
> someone out there describing me the current situation?

The problem is the rigorous construction of a Hilbert space with
a unitary representation of the Poincare group, such that a
perturbation argument recovers the traditional renormalized order by
order approximation of Yang-Mills quantum field theory.

The above paper contributes nothing to this problem.
The mass gap problem for Yang-Mills (and the associated Millenium price)
is a mathematical problem, while hep-th/0511173 consists of a bunch of
heuristic arguments. That the author, Frasca, calls it a proof doesn't
turn it into a mathematical proof.

See the contribution ''Is there a rigorous interacting QFT in 4
dimensions?'' in my theoretical physics FAQ at
http://www.mat.univie.ac.at/~neum/physics-faq.txt

Arnold Neumaier