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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 2, Pages 201–212
DOI: https://doi.org/10.4213/tmf1149 (Mi tmf1149) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Global flow of renormalization group and thermodynamic limit for the hierarchical fermionic model

É. Yu. Lerner, M. D. Missarov

Kazan State University
Full-text PDF (260 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf1149
Abstract: The renormalization group transformation for the hierarchical fermionic model is given as a rational map in the plane of the coupling constants. We investigate the global flow of this transformation. The existence of the thermodynamic limit in the domain under investigation is proved. The automodel limit of the constructed fields is described.
Received: 16.08.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 2, Pages 579–588
DOI: https://doi.org/10.1007/BF02071371
Bibliographic databases:
Language: Russian
Citation: É. Yu. Lerner, M. D. Missarov, “Global flow of renormalization group and thermodynamic limit for the hierarchical fermionic model”, TMF, 107:2 (1996), 201–212; Theoret. and Math. Phys., 107:2 (1996), 579–588
Citation in format AMSBIB
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\by \'E.~Yu.~Lerner, M.~D.~Missarov
\paper Global flow of renormalization group and thermodynamic limit for the hierarchical fermionic model
\jour TMF
\yr 1996
\vol 107
\issue 2
\pages 201--212
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\crossref{https://doi.org/10.4213/tmf1149}
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\zmath{https://zbmath.org/?q=an:0979.81064}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 2
\pages 579--588
\crossref{https://doi.org/10.1007/BF02071371}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WG90100003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1149
  • https://doi.org/10.4213/tmf1149
  • https://www.mathnet.ru/eng/tmf/v107/i2/p201
    • This publication is cited in the following 9 articles:
    1. M. D. Missarov, A. F. Shamsutdinov, “An algorithm for studying the renormalization group dynamics in the projective space”, Proc. Steklov Inst. Math., 285 (2014), 211–221  mathnet  crossref  crossref  isi  elib  elib
    2. M. D. Missarov, “Renormalization group in a fermionic hierarchical model in projective coordinates”, Theoret. and Math. Phys., 173:3 (2012), 1637–1643  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    3. Missarov M.D., “Renormalization group solution of fermionic dyson model”, Asymptotic Combinatorics With Applications To Mathematical Physics, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 77, 2002, 151–166  mathscinet  zmath  isi
    4. M. D. Missarov, Asymptotic Combinatorics with Application to Mathematical Physics, 2002, 151  crossref
    5. R. Z. Dautov, M. D. Missarov, “Symmetries and cycles of the renormalization group in a fermionic hierarchical model”, Theoret. and Math. Phys., 126:2 (2001), 195–202  mathnet  crossref  crossref  zmath  isi
    6. M. D. Missarov, “Continuum limit in the fermionic hierarchical model”, Theoret. and Math. Phys., 118:1 (1999), 32–40  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. Missarov, MD, “Dynamical phenomena in the hierarchical fermionic model”, Physics Letters A, 253:1–2 (1999), 41  crossref  adsnasa  isi  scopus  scopus  scopus
    8. M. D. Missarov, “RG-invariant curves in the fermionic hierarchical model”, Theoret. and Math. Phys., 114:3 (1998), 255–265  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. M. D. Missarov, “Critical phenomena in the fermionic hierarchical model”, Theoret. and Math. Phys., 117:3 (1998), 1483–1498  mathnet  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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