Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 1, Pages 34–46
DOI: https://doi.org/10.4213/tmf9817 (Mi tmf9817) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multiplicative renormalizability of Yang–Mills theory with the background field method in the BV formalism

I. A. Batalinab, K. Beringc, P. M. Lavrovbd, I. V. Tyutinab

a Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia
b Tomsk State Pedagogical University, Tomsk, Russia
c Masaryk University, Brno, Czech Republic
d Tomsk State University, Tomsk, Russia
Full-text PDF (416 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9817
Abstract: Studying the gauge-invariant renormalizability of four-dimensional Yang–Mills theory using the background field method and the BV formalism, we derive a classical master equation homogeneous with respect to the antibracket by introducing antifield partners to the background fields and parameters. The constructed model can be renormalized by the standard method of introducing counterterms. This model does not have (exact) multiplicative renormalizability but it does have this property in the physical sector (quasimultiplicative renormalizability).
Keywords: background field method, Yang–Mills theory, renormalizability, gauge dependence, BV formalism.
Funding agency Grant number
Russian Foundation for Basic Research 17-02-00317
18-02-00153
Ministry of Science and Higher Education of the Russian Federation 3.1386.2017
The research of I. A. Batalin and I. V. Tyutin is supported in part by the Russian Foundation for Basic Research (Grant No. 17-02-00317).
The research of P. M. Lavrov is supported in part by the Ministry of Science and Higher Education of the Russian Federation (Grant No. 3.1386.2017) and the Russian Foundation for Basic Research (Grant No. 18-02-00153).
Received: 06.09.2019
Revised: 06.09.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 1, Pages 30–40
DOI: https://doi.org/10.1134/S0040577920010043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Batalin, K. Bering, P. M. Lavrov, I. V. Tyutin, “Multiplicative renormalizability of Yang–Mills theory with the background field method in the BV formalism”, TMF, 202:1 (2020), 34–46; Theoret. and Math. Phys., 202:1 (2020), 30–40
Citation in format AMSBIB
\Bibitem{BatBerLav20}
\by I.~A.~Batalin, K.~Bering, P.~M.~Lavrov, I.~V.~Tyutin
\paper Multiplicative renormalizability of Yang--Mills theory with the~background field method in the~BV formalism
\jour TMF
\yr 2020
\vol 202
\issue 1
\pages 34--46
\mathnet{http://mi.mathnet.ru/tmf9817}
\crossref{https://doi.org/10.4213/tmf9817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4045703}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...202...30B}
\elib{https://elibrary.ru/item.asp?id=43258679}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 202
\issue 1
\pages 30--40
\crossref{https://doi.org/10.1134/S0040577920010043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000521153500004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85082039991}
Linking options:
  • https://www.mathnet.ru/eng/tmf9817
  • https://doi.org/10.4213/tmf9817
  • https://www.mathnet.ru/eng/tmf/v202/i1/p34
    • This publication is cited in the following 1 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
    Statistics & downloads:
    Abstract page:287
    Full-text PDF :52
    References:29
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024