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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 87–92 (Mi ivm8934)  

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

The renormalization group flow properties in the neighborhood of the Gaussian fixed point

A. F. Shamsutdinov

Chair of Data Analysis and Operations Research, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (172 kB) Citations (1)
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Abstract: We investigate a dynamics of renormalization group transformation in the fermionic hierarchical model given by the lagrangian. We construct the invariant neighborhood of the Gaussian fixed point in the upper half-plane. We describe the subsets of the points of this neighborhood tending to the Gaussian fixed point under the iterations of the renormalization group transformation from the left and from the right.
Keywords: renomalization group, fermionic hierarchical model, Gaussian fixed point.
Presented by the member of Editorial Board: M. D. Missarov
Received: 26.03.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 71–75
DOI: https://doi.org/10.3103/S1066369X14090102
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: A. F. Shamsutdinov, “The renormalization group flow properties in the neighborhood of the Gaussian fixed point”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 87–92; Russian Math. (Iz. VUZ), 58:9 (2014), 71–75
Citation in format AMSBIB
\Bibitem{Sha14}
\by A.~F.~Shamsutdinov
\paper The renormalization group flow properties in the neighborhood of the Gaussian fixed point
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 87--92
\mathnet{http://mi.mathnet.ru/ivm8934}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 71--75
\crossref{https://doi.org/10.3103/S1066369X14090102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906267422}
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  • https://www.mathnet.ru/eng/ivm/y2014/i9/p87
  • 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
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:131
    Full-text PDF :30
    References:38
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