Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 162–188 (Mi znsl7317)  
This article is cited in 5 scientific papers (total in 5 papers)

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
Full-text PDF (665 kB) Citations (5)
References:
PDF
HTML
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
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 284, Issue 5, Pages 681–699
DOI: https://doi.org/10.1007/s10958-024-07379-4
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; J. Math. Sci. (N. Y.), 284:5 (2024), 681–699
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}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2024
\vol 284
\issue 5
\pages 681--699
\crossref{https://doi.org/10.1007/s10958-024-07379-4}
Linking options:
  • https://www.mathnet.ru/eng/znsl7317
  • https://www.mathnet.ru/eng/znsl/v520/p162
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025