Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

What's the current state of Yang Mills Mass Gap question, is there any place that does this problem? Especially I want to know if there is any progress (out of that mentioned in the introduction article by Witten and Jaffe). Is it too hard for a mathematician? Thanks!

share|improve this question
marcofrasca.wordpress.com/2010/09/03/… –  user11219 Dec 1 '10 at 4:59
Added tag: open-problem –  Daniel Moskovich Dec 1 '10 at 11:07
marcofrasca.wordpress.com/2010/12/01/… –  user11226 Dec 1 '10 at 11:46

3 Answers 3

up vote 6 down vote accepted

There's some guidelines about open problems in the FAQ that you might want to read, but there was a good article by Faddeev last November that you should know about:

Mass in Quantum Yang-Mills Theory, by Faddeev

share|improve this answer

There is a rather strange situation here because a russian mathematician, Alexander Dynin, is claiming to have solved it. Please, refer to this question of mine or this paper published in a reputable journal. Till now I have not seen any reaction from the community but I think that an analysis of the work of this author is overdue. Indeed, he has worked on this since 2009 as I can see from arxiv.

share|improve this answer


[1] Dimitra Karabali and V. P. Nair, Int. J. Mod. Phys. A 12, 1161 (1997) http://arxiv.org/abs/hep-th/9610002

See eqn (20), (21) and the following paragraph.

share|improve this answer
While it provides some explanations, the problem treated there is in 3 dimensions only, while the Clay Millennium problem asks for a solution in 4 dimensions, where extra difficulties show up. –  Arnold Neumaier Apr 4 at 16:24

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.