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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 221–231
DOI: https://doi.org/10.1134/S0371968514020149 (Mi tm3544) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An algorithm for studying the renormalization group dynamics in the projective space

M. D. Missarov, A. F. Shamsutdinov

Kazan (Volga Region) Federal University, Kazan, Russia
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DOI: https://doi.org/10.1134/S0371968514020149
Abstract: The renormalization group dynamics is studied in the four-component fermionic hierarchical model in the space of coefficients that determine the Grassmann-valued density of the free measure. This space is treated as a two-dimensional projective space. If the renormalization group parameter is greater than $1$, then the only attracting fixed point of the renormalization group transformation is defined by the density of the Grassmann $\delta$-function. Two different invariant neighborhoods of this fixed point are described, and an algorithm is constructed that allows one to classify the points on the plane according to the way they tend to the fixed point.
Received in December 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 211–221
DOI: https://doi.org/10.1134/S0081543814040142
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: M. D. Missarov, A. F. Shamsutdinov, “An algorithm for studying the renormalization group dynamics in the projective space”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 221–231; Proc. Steklov Inst. Math., 285 (2014), 211–221
Citation in format AMSBIB
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\paper An algorithm for studying the renormalization group dynamics in the projective space
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\vol 285
\pages 221--231
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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