Mass in Quantum Yang-Mills Theory

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Faddeev, L. D.
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Among seven problems, proposed for XXI century by Clay Mathematical Institute, 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, gives both motivation and exposition of related mathematical results, known until now. Having some experience in the matter, I decided to completement their text by my own personal comments aimed mostly to mathematical audience.
Comment: This paper was published in "Perspectives in Analysis", Essays in Honor of Lennart Carlesson's 75th Birthday. Sending this text to ArXiv I hope to make it more accessible. Several methodological comments could be new
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Mathematical Physics
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