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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 1, Pages 133–142
DOI: https://doi.org/10.4213/tmf2064 (Mi tmf2064) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Notes on divergences and dimensional transmutation in Yang–Mills theory

L. D. Faddeev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (361 kB) Citations (26)
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DOI: https://doi.org/10.4213/tmf2064
Abstract: We discuss the specificity of charge renormalization in Yang–Mills theory. We show that the values of the running coupling constant in dimensional regularization and in momentum truncation coincide. Dimensional transmutation is interpreted as replacing the dimensionless coupling constant with a dimensional invariant of the renormalization group equation.
Keywords: dimensional transmutation, renormalization group equations, dimensional regularization, momentum truncation.
Received: 02.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 1, Pages 986–994
DOI: https://doi.org/10.1007/s11232-006-0095-4
Bibliographic databases:
Language: Russian
Citation: L. D. Faddeev, “Notes on divergences and dimensional transmutation in Yang–Mills theory”, TMF, 148:1 (2006), 133–142; Theoret. and Math. Phys., 148:1 (2006), 986–994
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf2064
  • https://www.mathnet.ru/eng/tmf/v148/i1/p133
    • This publication is cited in the following 26 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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