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A couple of methodological comments on the quantum Yang-Mills theory

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Abstract

We present methodological proposals regarding the definition of the notion of the effective action, the coupling constant renormalization, and the interpretation of dimensional transmutation. We show that the divergences that arise when quantizing a Yang-Mills field can be eliminated and lead to violation of the scaling invariance of the classical theory.

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Authors and Affiliations

  1. St. Petersburg Branch of the Steklov Institute for Mathematics, RAS, St. Petersburg, Russia

    L. D. Faddeev

  2. St. Petersburg State University, St. Petersburg, Russia

    L. D. Faddeev

Authors
  1. L. D. Faddeev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 181, No. 3, pp. 597–602, December, 2014.

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Faddeev, L.D. A couple of methodological comments on the quantum Yang-Mills theory. Theor Math Phys 181, 1638–1642 (2014). https://doi.org/10.1007/s11232-014-0240-4

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  • DOI: https://doi.org/10.1007/s11232-014-0240-4

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