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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 465, Pages 147–156 (Mi znsl6535)  
This article is cited in 4 scientific papers (total in 4 papers)

About dimensional regularization in the Yang–Mills theory

A. V. Ivanov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (176 kB) Citations (4)
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Abstract: In the work the asymptotic approach is proposed for the renormalization in the case of dimensional regularization. As an example, the quantum Yang–Mills theory in the four-dimensional space-time is considered. The formula for the renormalized effective action is derived by using the asymptotic behavior of the bare coupling constant. Then the dimensional transmutation, the process of renormalization and the properties of the coupling constant are discussed.
Key words and phrases: theory of Yang–Mills, renormalization, renormalization group, dimensional transmutation, dimensional regularization, effective action, Gell-Mann–Low equation, coupling constant.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00283-А
Received: 23.11.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 6, Pages 862–869
DOI: https://doi.org/10.1007/s10958-019-04281-2
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Ivanov, “About dimensional regularization in the Yang–Mills theory”, Questions of quantum field theory and statistical physics. Part 24, Zap. Nauchn. Sem. POMI, 465, POMI, St. Petersburg, 2017, 147–156; J. Math. Sci. (N. Y.), 238:6 (2019), 862–869
Citation in format AMSBIB
\Bibitem{Iva17}
\by A.~V.~Ivanov
\paper About dimensional regularization in the Yang--Mills theory
\inbook Questions of quantum field theory and statistical physics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 465
\pages 147--156
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6535}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 6
\pages 862--869
\crossref{https://doi.org/10.1007/s10958-019-04281-2}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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