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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 2, Pages 282–293 (Mi tmf1685)  

This article is cited in 6 scientific papers (total in 6 papers)

Renormalization group in a fermionic hierarchical model

É. Yu. Lerner, M. D. Missarov

Kazan State University
Full-text PDF (907 kB) Citations (6)
References:
Abstract: A study is made of a hierarchical model with spin values in a Grassmann algebra defined by a potential of general form. The action of the spin-block renormalization group in the space of Hamiltonians is reduced to a rational mapping of the space of coupling constants into itself. The methods of the theory of bifurcations are used to investigate the nontrivial fixed points of this mapping. A theorem establishing the existence of a thermodynamic limit of the model at these points in a certain neighborhood of a bifurcation value is proved.
Received: 27.10.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 2, Pages 1353–1360
DOI: https://doi.org/10.1007/BF01018283
Bibliographic databases:
Language: Russian
Citation: É. Yu. Lerner, M. D. Missarov, “Renormalization group in a fermionic hierarchical model”, TMF, 101:2 (1994), 282–293; Theoret. and Math. Phys., 101:2 (1994), 1353–1360
Citation in format AMSBIB
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\by \'E.~Yu.~Lerner, M.~D.~Missarov
\paper Renormalization group in a~fermionic hierarchical model
\jour TMF
\yr 1994
\vol 101
\issue 2
\pages 282--293
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348390}
\zmath{https://zbmath.org/?q=an:0960.47511}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 2
\pages 1353--1360
\crossref{https://doi.org/10.1007/BF01018283}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QY17400010}
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  • https://www.mathnet.ru/eng/tmf/v101/i2/p282
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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