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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 379–400
DOI: https://doi.org/10.4213/tmf911 (Mi tmf911) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Critical dimensions of composite operators in the nonlinear $\sigma$-model

S. È. Derkacheva, A. N. Manashovb

a State Technological Institute of St. Petersburg
b Saint-Petersburg State University
Full-text PDF (322 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf911
Abstract: A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented using $1/N$ expansion. Restrictions imposed on the mixing matrix by the conformal invariance are investigated. The anomalous dimensions of all powerlike products of an auxiliary field are calculated up to the second order in $1/N$.
Received: 18.03.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1034–1049
DOI: https://doi.org/10.1007/BF02557145
Bibliographic databases:
Language: Russian
Citation: S. È. Derkachev, A. N. Manashov, “Critical dimensions of composite operators in the nonlinear $\sigma$-model”, TMF, 116:3 (1998), 379–400; Theoret. and Math. Phys., 116:3 (1998), 1034–1049
Citation in format AMSBIB
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\by S.~\`E.~Derkachev, A.~N.~Manashov
\paper Critical dimensions of composite operators in the nonlinear $\sigma$-model
\jour TMF
\yr 1998
\vol 116
\issue 3
\pages 379--400
\mathnet{http://mi.mathnet.ru/tmf911}
\crossref{https://doi.org/10.4213/tmf911}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693869}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 3
\pages 1034--1049
\crossref{https://doi.org/10.1007/BF02557145}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078007000006}
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  • https://www.mathnet.ru/eng/tmf/v116/i3/p379
    • This publication is cited in the following 10 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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