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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 67, Number 1, Pages 52–67 (Mi tmf4920)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimal $R$ operation in the $1/N$ expansion of $\sigma$ models

V. K. Krivoshchekov, P. B. Medvedev
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Abstract: The renormalization structure of the $1/N$ expansion in $\sigma$ models is investigated. It is shown that the theory is renormalized by an $R$ operation in which subtractions are made only for some of the subgraphs with non-negative degree (of divergence). In contrast to the standard renormalization, such a renormalization manifestly preserves the nonlinear symmetry of the $\sigma$ model.
Received: 15.02.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 67, Issue 1, Pages 351–362
DOI: https://doi.org/10.1007/BF01028888
Bibliographic databases:
Language: Russian
Citation: V. K. Krivoshchekov, P. B. Medvedev, “Minimal $R$ operation in the $1/N$ expansion of $\sigma$ models”, TMF, 67:1 (1986), 52–67; Theoret. and Math. Phys., 67:1 (1986), 351–362
Citation in format AMSBIB
\Bibitem{KriMed86}
\by V.~K.~Krivoshchekov, P.~B.~Medvedev
\paper Minimal $R$~operation in the $1/N$~expansion of $\sigma$~models
\jour TMF
\yr 1986
\vol 67
\issue 1
\pages 52--67
\mathnet{http://mi.mathnet.ru/tmf4920}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 1
\pages 351--362
\crossref{https://doi.org/10.1007/BF01028888}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E968100006}
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  • https://www.mathnet.ru/eng/tmf/v67/i1/p52
    • 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
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    References:42
    First page:1
     
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