Theoretical and Mathematical Physics

, Volume 181, Issue 3, pp 1638–1642 | Cite as

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

  • L. D. Faddeev


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.


effective action dimensional transmutation 


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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  • L. D. Faddeev
    • 1
    • 2
  1. 1.St. Petersburg Branch of the Steklov Institute for MathematicsRASSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

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