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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 136–169 (Mi znsl3599)  
This article is cited in 5 scientific papers (total in 5 papers)

On the spectrum of anomalous dimensions of composite operators in the scalar field theory

S. E. Derkachova, A. N. Manashovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (331 kB) Citations (5)
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Abstract: In the one-loop approximation the problem of the diagonalization of the mixing matrix is equivalent some quantum mechanical eigenvalue problem. For the illustration of this technik we consider two simplest examples of the scalar field theories. Bibl. – 27 titles.
Key words and phrases: renormalization of composite operators, mixing matrix, anomalous dimensions, conformal invariance.
Received: 10.02.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 6, Pages 837–855
DOI: https://doi.org/10.1007/s10958-010-0032-9
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. E. Derkachov, A. N. Manashov, “On the spectrum of anomalous dimensions of composite operators in the scalar field theory”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 136–169; J. Math. Sci. (N. Y.), 168:6 (2010), 837–855
Citation in format AMSBIB
\Bibitem{DerMan10}
\by S.~E.~Derkachov, A.~N.~Manashov
\paper On the spectrum of anomalous dimensions of composite operators in the scalar field theory
\inbook Questions of quantum field theory and statistical physics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 374
\pages 136--169
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3599}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 6
\pages 837--855
\crossref{https://doi.org/10.1007/s10958-010-0032-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955282193}
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  • https://www.mathnet.ru/eng/znsl/v374/p136
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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