# Frasca's mapping of classical Yang-Mills to $\phi^4$ theory

I recently came across an article on the arXiv 0709.2042 written by Marco Frasca, where he provides a mapping between classical Yang-Mills theory to $\phi^4$ theory. Has his idea been fruitful in understanding the infrared regime of quantum Yang-Mills theory, as he claims?

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A mathematician named Terry who specializes in analysis argued rather convincing here that the main theorem in Frasca's paper is incorrect. –  user1504 Jan 8 '13 at 15:08
Thanks for answering for me but this information is just incomplete. –  Jon Sep 20 '13 at 13:31

## 1 Answer

This theorem was corrected in a published paper as asked by Terry Tao (see here and here). Tao conceded that the new version gives a correct theorem and mapping holds in an approximate way (see here) in the limit of a large coupling that is what one needs in the infrared limit.

Please, before to give incorrect information, just ask the author.

See this post in my blog for an in-depth discussion.

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Dear Jon, not to conflict with Phys.SE self-citation policy, please spell out explicitly in your answer if you are in any way associated with the author of the paper arXiv:0709.2042. –  Qmechanic Sep 20 '13 at 14:24
Dear @Qmechanic, Thanks a lot for pointing this out. Yes I am the author. I thought this would have been clear from my profile where there is a link to my blog with a list of my publications. Somewhat involved but nothing to hide. –  Jon Sep 21 '13 at 10:16