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Infrared divergences and asymptotic quark states in quantum chromodynamics

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In 1983 Nikita Alexeevich Sveshnikov and myself published a paper [1] about the absence of free quarks in the perturbative quantum chromodynamics (QCD). In that paper, we gave only a sketch of the rigorous proofs of the corresponding statements. We planned to publish a detailed paper on this subject later, but we did not do so. Nikita Alexeevich always sought a very high level of mathematical rigor, and he did achieve it in his published papers. Now, when he has passed away, I am hardly able to present a text whose quality would satisfy his high criteria. Yet I have decided to pblish our old notes, hoping they could be useful to the people working on the infrared divergence problems of the QCD confinement. I must stress that all the ideas of this work belong to Nikita Alexeevich while all the responsibility for deficiencies in the presentation rests with me.A. Yu. Kamenschchik

Abstract

We show that it is impossible to construct asymptotic free quark states in quantum chromodynamics using the method of asymptotic dynamics.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia

    A. Yu. Kamenshchik

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  1. A. Yu. Kamenshchik
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  2. N. A. Sveshnikov
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Deceased.

Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 117, No. 2, pp. 175–188, November, 1998.

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Kamenshchik, A.Y., Sveshnikov, N.A. Infrared divergences and asymptotic quark states in quantum chromodynamics. Theor Math Phys 117, 1251–1261 (1998). https://doi.org/10.1007/BF02557165

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