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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 3, Pages 597–602
DOI: https://doi.org/10.4213/tmf8782 (Mi tmf8782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

L. D. Faddeevab

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Branch of the Steklov Institute for Mathematics, RAS, St. Petersburg, Russia
Full-text PDF (306 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf8782
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.
Keywords: effective action, dimensional transmutation.
Received: 31.07.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 3, Pages 1638–1642
DOI: https://doi.org/10.1007/s11232-014-0240-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. D. Faddeev, “A couple of methodological comments on the quantum Yang–Mills theory”, TMF, 181:3 (2014), 597–602; Theoret. and Math. Phys., 181:3 (2014), 1638–1642
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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