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, 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
References:
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
\Bibitem{DerMan98}
\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}
Linking options:
  • https://www.mathnet.ru/eng/tmf911
  • https://doi.org/10.4213/tmf911
  • 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
    Statistics & downloads:
    Abstract page:361
    Full-text PDF :221
    References:69
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024