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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 1, Pages 15–30 (Mi tmf2186)  

This article is cited in 42 scientific papers (total in 42 papers)

The $CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order $1/N$

A. N. Vasil'ev, M. Yu. Nalimov

Leningrad State University
References:
Abstract: In the first order in $1/N$ for arbitrary dimension $2<d<4$ of space for the $CP^{N-1}$ model quantized by means of the auxiliary fields $\varphi$ and $B$ ($\Phi$ is the principal field, go the auxiliary scalar field, and $B$ the auxiliary vector field) the following are calculated: 1) the matrix of renormalization constants and the corresponding matrix of the anomalous dimensions of the mixed operators $\varphi$ and $B^2$ of canonical dimension $2$; 2) the analogous matrices for the mixed operators $\varphi^2$ and $F_{\alpha\beta}F_{\alpha\beta}$ of canonical dimension $4$, which determine two correction exponents $\omega$; 3) the anomalous dimension $\gamma_\Phi$ in an arbitrary gauge.
Received: 08.07.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 1, Pages 643–653
DOI: https://doi.org/10.1007/BF01027537
Bibliographic databases:
Language: Russian
Citation: A. N. Vasil'ev, M. Yu. Nalimov, “The $CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order $1/N$”, TMF, 56:1 (1983), 15–30; Theoret. and Math. Phys., 56:1 (1983), 643–653
Citation in format AMSBIB
\Bibitem{VasNal83}
\by A.~N.~Vasil'ev, M.~Yu.~Nalimov
\paper The~$CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order~$1/N$
\jour TMF
\yr 1983
\vol 56
\issue 1
\pages 15--30
\mathnet{http://mi.mathnet.ru/tmf2186}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 1
\pages 643--653
\crossref{https://doi.org/10.1007/BF01027537}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SA59100002}
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  • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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