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TMF, 1999, Volume 118, Number 1, Pages 40–50 (Mi tmf684)  

This article is cited in 10 scientific papers (total in 10 papers)

Continuum limit in the fermionic hierarchical model

M. D. Missarov

Kazan State University

Abstract: We discuss the problem of rigorously constructing the continuum limit in the fermionic hierarchical model. The continuum limit constructed as the limit of fields on the refined hierarchical lattices is a field on a $p$-adic continuum. We investigate the problem of reconstructing the coupling constants of the continuum model from the coupling constants of the discretized model.

DOI: https://doi.org/10.4213/tmf684

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English version:
Theoretical and Mathematical Physics, 1999, 118:1, 32–40

Bibliographic databases:

Received: 29.05.1998

Citation: M. D. Missarov, “Continuum limit in the fermionic hierarchical model”, TMF, 118:1 (1999), 40–50; Theoret. and Math. Phys., 118:1 (1999), 32–40

Citation in format AMSBIB
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\by M.~D.~Missarov
\paper Continuum limit in the fermionic hierarchical model
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\vol 118
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\pages 40--50
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\zmath{https://zbmath.org/?q=an:0992.81058}
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 1
\pages 32--40
\crossref{https://doi.org/10.1007/BF02557193}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. É. Yu. Lerner, M. D. Missarov, “Dimensional renormalization in $p$-adic models of field theory”, Theoret. and Math. Phys., 123:3 (2000), 801–812  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. 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
    3. M. D. Missarov, “Symmetry of the Renormalization Group in $p$-Adic Models”, Proc. Steklov Inst. Math., 245 (2004), 160–168  mathnet  mathscinet  zmath
    4. R. G. Stepanov, “Renormalization-Group Transformation in a $2n$-Component Fermionic Hierarchical Model”, Theoret. and Math. Phys., 146:2 (2006), 207–220  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Missarov M.D., Stepanov R.G., “Critical Exponents in p-adic phi(4)-model”, P-Adic Mathematical Physics, AIP Conference Proceedings, 826, 2006, 129–139  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    6. S. V. Kozyrev, “Methods and Applications of Ultrametric and $p$-Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84  mathnet  crossref  crossref  zmath  isi  elib
    7. 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
    8. M. D. Missarov, “Functional Fourier transformation and renormalization group transformation in bosonic field theory models”, Theoret. and Math. Phys., 174:2 (2013), 263–272  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. 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
    10. M. D. Missarov, A. F. Shamsutdinov, “Zone structure of the renormalization group flow in a fermionic hierarchical model”, Theoret. and Math. Phys., 194:3 (2018), 377–383  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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