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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|cite|improve this question… – user11219 Dec 1 '10 at 4:59
Added tag: open-problem – Daniel Moskovich Dec 1 '10 at 11:07… – user11226 Dec 1 '10 at 11:46
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

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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.

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[1] Dimitra Karabali and V. P. Nair, Int. J. Mod. Phys. A 12, 1161 (1997)

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

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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 '15 at 16:24
I forgot to mention 3D. Thanks for the correction. – TY1 May 29 '15 at 21:55

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