Talk:Yang–Mills existence and mass gap

message: DO NOT MERGE THEM TOGETHER. IT IS A MILLENIUM PROBLEM AND THEY SHOULD BE ON THEIR OWN PAGES.
Agree.  Do not merge.
: By the way, from this  article one can well estimate the difference in mathematical rigor involved, and also the positive, and partially negative consequences: negative, because mathematicians are naturally always behind, which is one side of the coin. - With regards, 132.199.101.108 (talk) 12:49, 14 April 2009 (UTC)
thread_title:  NO! 

message: I found ref 43 link  on adsabs but there is no free to read article. Also found ref 45 on Google books . The Jaffe and Witten “Quantum Yang-Mills theory” reference contains these references with the numbered citations. Adding them with cite journal and cite book would improve the article a little, but only if someone also can read and check the relevance of the references. Puzl bustr (talk) 16:04, 11 May 2012 (UTC)
thread_title:  References 43 and 45 unspecified.  

message: I found ref 43 link  on adsabs but there is no free to read article. Also found ref 45 on Google books . The Jaffe and Witten “Quantum Yang-Mills theory” reference contains these references with the numbered citations. Adding them with cite journal and cite book would improve the article a little, but only if someone also can read and check the relevance of the references. Puzl bustr (talk) 16:04, 11 May 2012 (UTC)
thread_title:  References 43 and 45 unspecified.  

message: The Yang-Mills existence and mass gap problem, has been completely solved in the paper [1]. (These results were also partially announced in some already published works by the same author.)
:[1] A. Prástaro, Quantum extended crystal super PDE's. Nonlinear Analysis. Real World Appl. 13(6)(2012), 2491-2529. 
:See also the complementary papers [2-6]  and related works quoted therein.
:[2] A. Prástaro, Quantum exotic PDE's. Nonlinear Analysis. Real World Appl. 14(2)(2013), 893-928. DOI: 10.1016/j.nonrwa.2012.04.001. arXiv: 1106.0862[math.AT]. MR2991123.
:[3] A. Prástaro, Quantum extended crystal PDE's. Nonlinear Studies 18(3)(2011), 447-485. arXiv: 1105.0166[math.AT]. MR2816182(2012k:57043); Zbl 1253.35135.
:[4] A. Prástaro, Strong reactions in quantum super PDE's. I: Quantum hypercomplex exotic super PDE's. arXiv: 1205.2894[math.AT]. (Part I and Part II are unified in arXiv.)
:[5] A. Prástaro, Strong reactions in quantum super PDE's. II: Nonlinear quantum propagators. arXiv: 1205.2894[math.AT]. (Part I and Part II are unified in arXiv.)
:[6] A. Prástaro, Strong reactions in quantum super PDE's. III: Exotic quantum supergravity. arXiv: 1206.4856[math.AT].
:: It is important to emphasize that the YM-problem introduced by A. Jaffe and E. Witten concerns a particular aspect of the general theory formulated in the previous works by A. Prástaro. In fact they talk about a quantum Yang-Mills equation on an affine space-time. With this respect, the Prástaro's algebraic topologic method to classify global solutions of quantum super PDEs, explicitly applied to the quantum super Yang-Mills PDEs, allows to solve the quoted problem as introduced by A. Jaffe and E. Witten.
::In particular look to Theorem 3.14  and Theorem 3.28 in [1]. 
:Warn ! Even if the considered problem concerns in a sense Classical Mathematical Physics, in order to be solved it necessitates a new algebraic topologic theory of quantum super PDEs, as already formulated by A. Prástaro. In fact, the great difficulty of the problem is just in the impossibility to solve it remaining in the old usual framework of the quantum field theory !
(Agostino.prastaro (talk) 11:47, 5 July 2013 (UTC)
replies: text: While your effort should be appreciated, the claim must be supported by the scientific community. In order to get an idea about the way things work you should look at the history of Grigori Perelman and the Poincaré conjecture. If all the community will agree that you have found a proof you are done and the way to glory is open. Otherwise you should act like any other colleague with a similar claim trying to publicize your work with conferences and further publications to elucidate better the content of your work.--Pra1998 (talk) 16:32, 5 July 2013 (UTC)
thread_title:  Yang-Mills Existence and Mass-Gap Problem: A solution in Quantum Super PDEs Algebraic Topology 

message: http://www.youtube.com/watch?v=3zdqSg0ZxDs  — Preceding unsigned comment added by 84.158.152.168 (talk) 10:48, 12 October 2013 (UTC)
replies: text: Check this to see how to understand this claim.--Pra1998 (talk) 17:22, 13 October 2013 (UTC)
thread_title:  Yet another claim 

message: The following text was on the page, as an edited form of comments on Dynin's paper. Before it goes back on the page, it presumably should be discussed. Charles Matthews (talk) 09:56, 14 July 2014 (UTC)
thread_title:  added material on Dynin's paper 

message: Do note that WP:TPO permits/encourages the deletion of promotional material on Talk pages. Choor monster (talk) 11:29, 7 June 2015 (UTC)
thread_title:  Dealing with [[WP:OR]] and [[WP:PROMO]] 

message: I don't understand what is meant here:
The Wightman axioms require that the Poincaré group acts unitarily on the Hilbert space. In other words, they have position dependent operators called quantum fields which form covariant representations of the Poincaré group.
Specifically, I don't understand what the word "they" refers to. Unfortunately I am not a specialist, I rather came to this page to learn something, so I cannot edit this place myself. However I am sure something's wrong with that place - simply grammatically it is inconsistent if I am not mistaken. Could somebody please elucidate this, and/or edit the text accordingly?
...After a while I realized that there is in fact a grammatically correct interpretation of the text. Namely, "they" might mean "the axioms" here. However I believe then the contents is unclear. "The axioms have operators" - what does this actually mean?
Mamuka Jibladze (talk) 13:25, 14 April 2016 (UTC)
thread_title:  A place in the section "Wightman axioms" not clear