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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 2, Pages 320–333 (Mi tmf5580)  
This article is cited in 5 scientific papers (total in 5 papers)

Solution of exact (local) renormalization-group equation

A. E. Filippov

Donetsk Physical-Technical Institute of Ukraine Academy of Sciences
Full-text PDF (1520 kB) Citations (5)
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Abstract: The exact renormalized-group equation for a local free energy functional is investigated for arbitrary dimension $d$ of space in the interval $2\leqslant d\leqslant4$. There is found to be a unique physical branch of the solution $d=3$ for a stable fixed point, and the properties of this solution are investigated. For $d<3$ there are found to be additional branches of the solution corresponding to multicritical behavior described by $(\varphi^2)^k$ theories of different orders $k$.
Received: 13.05.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 2, Pages 551–560
DOI: https://doi.org/10.1007/BF01018853
Bibliographic databases:
Language: Russian
Citation: A. E. Filippov, “Solution of exact (local) renormalization-group equation”, TMF, 91:2 (1992), 320–333; Theoret. and Math. Phys., 91:2 (1992), 551–560
Citation in format AMSBIB
\Bibitem{Fil92}
\by A.~E.~Filippov
\paper Solution of exact (local) renormalization-group equation
\jour TMF
\yr 1992
\vol 91
\issue 2
\pages 320--333
\mathnet{http://mi.mathnet.ru/tmf5580}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182542}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 2
\pages 551--560
\crossref{https://doi.org/10.1007/BF01018853}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KG55600010}
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    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:58
    First page:1
     
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