Summary
Among seven problems, proposed for the XXI century by the Clay Mathematical Institute [1], there are two stemming from physics. One of them is called “Yang-Mills Existence and Mass Gap”. The detailed statement of the problem, written by A. Jaffe and E. Witten [2], gives both motivation and exposition of related mathematical results, known until now. Having some experience in the matter, I decided to complement their text by my own personal comments aimed mostly to mathematical audience.
The first variant was published in [3]. In this new version more details are given in the description of renormalization.
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References
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Faddeev, L.D. (2005). Mass in Quantum Yang-Mills Theory (Comment on a Clay Millennium Problem). In: Benedicks, M., Jones, P.W., Smirnov, S., Winckler, B. (eds) Perspectives in Analysis. Mathematical Physics Studies, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30434-7_6
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DOI: https://doi.org/10.1007/3-540-30434-7_6
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