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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 494, Pages 242–249 (Mi znsl6986)  
This article is cited in 1 scientific paper (total in 1 paper)

Mixed type regularizations and nonlogarithmic singularities

N. V. Kharukabc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Euler International Mathematical Institute, St. Petersburg
c St. Petersburg National Research University of Information Technologies, Mechanics and Optics
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Abstract: In this paper we discuss dimensional and cutoff regularizations, using the heat kernel method as an example. The regularization modifications by adding to a Green function a special type operator are considered. In particular, we show that the dimensional regularization can lead to non-logarithmic divergences.
Key words and phrases: cutoff regularization, dimensional regularization, Green function, heat kernel, non-logarithmic divergence, mixed type regularization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1620
Received: 01.09.2020
Document Type: Article
Language: Russian
Citation: N. V. Kharuk, “Mixed type regularizations and nonlogarithmic singularities”, Questions of quantum field theory and statistical physics. Part 27, Zap. Nauchn. Sem. POMI, 494, POMI, St. Petersburg, 2020, 242–249
Citation in format AMSBIB
\Bibitem{Kha20}
\by N.~V.~Kharuk
\paper Mixed type regularizations and nonlogarithmic singularities
\inbook Questions of quantum field theory and statistical physics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 494
\pages 242--249
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6986}
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  • https://www.mathnet.ru/eng/znsl/v494/p242
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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