Thanks for proving my point again. You think 'Yang-Mills' is 'prove that QCD confines at low energy'? 'Yang Mills' is the name for a particular general class of gauge theories, named after a Professor Yang and a Professor Mills. Yang Mills theories cover a huge range of gauge theories, some of which have confinement and some of which do not. For example, a trivial non-interacting gauge theory can fall into the Yang Mills category but it doesn't confine. The question of which gauge theories exhibit confinement is of great interest to mathematical physicists.http://www.claymath.org/millennium/Yang-Mills_Theory/
We can read as follows: “Yang-Mills EXISTENCE AND Mass Gap: Prove that for any compact simple gauge group G, quantum Yang-Mills theory of R^4 exists and has a mass gap delta>0.”
In the original paper cited by you written by Witten and Jaffe we can read as follows (page 6): “Yang-Mills EXISTENCE AND Mass Gap. EXISTENCE includes establishing axiomatic properties at least as strong as those cited in [45, 35]”.
Can you see that there are two problems?
1.
The EXISTENCE of the Yang-Mills i.e. you as well must prove that the QCD confines at low energy!
2.
…AND Mass Gap.
Since you like using wiki why didn't you look up their Yang-Mills theory page? You'd then have seen it is defined as an SU(N) gauge theory. Of course you don't know what that means but even to someone as clueless as you it should be obvious that isn't synonymous with a confining theory. Electroweak theory is an SU(2) Yang-Mills theory, yet it doesn't show confinement. QCD is an example of an SU(3) gauge theory. It isn't the only possible SU(3) gauge theory, it's a particular one.
The question of how to define and construct properly a Yang Mills gauge theory from a set of axioms is an open problem, which is what the document referred to. Once you then have defined axiomatically a Yang Mills gauge theory you can explore a particular example of such a theory, namely QCD, and then try to show whether it confines or not from the axioms. Witten and Jaffe give examples of how one might approach the problem, using things like the large N expansion 't Hooft popularised and which forms the core of the gravity/gauge duality.
Thanks for showing that despite all your assertions and proclamations you never fail to put your foot in it. You know you don't know this stuff, you know you have never studied it, you know you cannot do a single calculation within any of these quantum field theories so why do you persist in trying to pretend you understand them in any way, shape or form? At best all you do is run to Wikipedia and try to grasp the layperson explanations there. You manage to screw that up too.
Actually I didn't say anything about your IQ in a negative way. I commented that Witten has more published papers than you have IQ points. Witten actually has hundreds of published papers, with an H index above 100 (so he has at least 100 papers each with at least 100 citations, giving 10,000 citations!), so I could make such a statement to anyone. Of course the reason I said it was that I wished to suggest you have a small IQ, even if what I said didn't literately imply it. Given your lack of knowledge about such people as Witten I was confident you'd take it as a slight, which you indeed did. I do like how predictable you are.You wrote something about my IQ. Now all can see that your IQ is much, much lower, the IQ of brucep as well.
You claimed the $1 million prize was for confinement. You were wrong, as the link demonstrates. I repeat : check ****ing mate.AlphaNumeric, at first you did not write the link because the articles prove that you are not right. Just you were bluffing writing about the Millennium Prize Problem. The Mass Gap Problem is not sufficient.