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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⩽d⩽4. 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 (φ2)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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  • https://www.mathnet.ru/eng/tmf5580
  • https://www.mathnet.ru/eng/tmf/v91/i2/p320
    • This publication is cited in the following 5 articles:
    1. YU. A. KUBYSHIN, R. NEVES, R. POTTING, “SOLUTIONS OF THE POLCHINSKI ERG EQUATION IN THE O(N) SCALAR MODEL”, Int. J. Mod. Phys. A, 17:32 (2002), 4871  crossref
    2. Jürgen Berges, Nikolaos Tetradis, Christof Wetterich, “Non-perturbative renormalization flow in quantum field theory and statistical physics”, Physics Reports, 363:4-6 (2002), 223  crossref
    3. Bagnuls, C, “Exact renormalization group equations: an introductory review”, Physics Reports-Review Section of Physics Letters, 348:1–2 (2001), 91  mathscinet  zmath  isi
    4. C. Bagnuls, C. Bervillier, “Exact renormalization group equations: an introductory review”, Physics Reports, 348:1-2 (2001), 91  crossref
    5. A. E. Filippov, “Attractor properties of physical branches of the solution to the renormalization group equation”, Theoret. and Math. Phys., 117:3 (1998), 1423–1433  mathnet  crossref  crossref  mathscinet  zmath  isi
    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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    Full-text PDF :111
    References:58
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