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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 162–188 (Mi znsl7317)  
Three-loop divergences in effective action of $4$-dimensional Yang–Mills theory with cutoff regularization: $\Gamma_4^2$-contribution

A. V. Ivanovab, N. V. Kharukab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Euler International Mathematical Institute, St. Petersburg
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Abstract: In the paper, we study three-loop divergences in the effective action of the four-dimensional Yang–Mills theory from the $\Gamma_4^2$-contribution. As the regularization we use a cutoff (deformation of the Green's function) in the coordinate representation.
Key words and phrases: Yang–Mills theory, effective action, cutoff regularization, heat kernel, Seeley–DeWitt coefficients.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-289
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 29.05.2023
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Ivanov, N. V. Kharuk, “Three-loop divergences in effective action of $4$-dimensional Yang–Mills theory with cutoff regularization: $\Gamma_4^2$-contribution”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 162–188
Citation in format AMSBIB
\Bibitem{IvaKha23}
\by A.~V.~Ivanov, N.~V.~Kharuk
\paper Three-loop divergences in effective action of $4$-dimensional Yang--Mills theory with cutoff regularization: $\Gamma_4^2$-contribution
\inbook Questions of quantum field theory and statistical physics. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 520
\pages 162--188
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7317}
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