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, 2006, Volume 148, Number 1, Pages 133–142
DOI: https://doi.org/10.4213/tmf2064 (Mi tmf2064) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Notes on divergences and dimensional transmutation in Yang–Mills theory

L. D. Faddeev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (361 kB) Citations (25)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf2064
Abstract: We discuss the specificity of charge renormalization in Yang–Mills theory. We show that the values of the running coupling constant in dimensional regularization and in momentum truncation coincide. Dimensional transmutation is interpreted as replacing the dimensionless coupling constant with a dimensional invariant of the renormalization group equation.
Keywords: dimensional transmutation, renormalization group equations, dimensional regularization, momentum truncation.
Received: 02.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 1, Pages 986–994
DOI: https://doi.org/10.1007/s11232-006-0095-4
Bibliographic databases:
Language: Russian
Citation: L. D. Faddeev, “Notes on divergences and dimensional transmutation in Yang–Mills theory”, TMF, 148:1 (2006), 133–142; Theoret. and Math. Phys., 148:1 (2006), 986–994
Citation in format AMSBIB
\Bibitem{Fad06}
\by L.~D.~Faddeev
\paper Notes on divergences and dimensional transmutation in Yang--Mills theory
\jour TMF
\yr 2006
\vol 148
\issue 1
\pages 133--142
\mathnet{http://mi.mathnet.ru/tmf2064}
\crossref{https://doi.org/10.4213/tmf2064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2283654}
\zmath{https://zbmath.org/?q=an:1177.81105}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...148..986F}
\elib{https://elibrary.ru/item.asp?id=9277367}
\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 148
\issue 1
\pages 986--994
\crossref{https://doi.org/10.1007/s11232-006-0095-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000240007800011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746118755}
Linking options:
  • https://www.mathnet.ru/eng/tmf2064
  • https://doi.org/10.4213/tmf2064
  • https://www.mathnet.ru/eng/tmf/v148/i1/p133
    • This publication is cited in the following 25 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:1114
    Full-text PDF :551
    References:71
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024