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TMF, 1989, Volume 78, Number 2, Pages 248–257 (Mi tmf4734)  

This article is cited in 14 scientific papers (total in 14 papers)

Scalar models of $p$-adic quantum field theory and hierarchical models

É. Yu. Lerner, M. D. Missarov


Abstract: Scalar models of quantum field theory on the $p$-adic line are formulated and their connection with hierarchical models is established.

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English version:
Theoretical and Mathematical Physics, 1989, 78:2, 177–184

Bibliographic databases:

Received: 25.05.1987

Citation: É. Yu. Lerner, M. D. Missarov, “Scalar models of $p$-adic quantum field theory and hierarchical models”, TMF, 78:2 (1989), 248–257; Theoret. and Math. Phys., 78:2 (1989), 177–184

Citation in format AMSBIB
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\by \'E.~Yu.~Lerner, M.~D.~Missarov
\paper Scalar models of~$p$-adic quantum field theory and hierarchical models
\jour TMF
\yr 1989
\vol 78
\issue 2
\pages 248--257
\mathnet{http://mi.mathnet.ru/tmf4734}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=994155}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 2
\pages 177--184
\crossref{https://doi.org/10.1007/BF01018683}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989AR42000008}


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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, “Hierarchical Dyson model and $p$-adic conformal invariance”, Theoret. and Math. Phys., 97:2 (1993), 1259–1266  mathnet  crossref  mathscinet  zmath  isi
    2. M. D. Missarov, “Functional equations and renormalizations in $p$-adic field theories”, Theoret. and Math. Phys., 109:1 (1996), 1249–1259  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. 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
    4. Lerner, EY, “Singularities of adelic Feynman amplitudes”, Letters in Mathematical Physics, 55:2 (2001), 97  crossref  isi
    5. 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  isi
    6. Proc. Steklov Inst. Math., 245 (2004), 135–142  mathnet  mathscinet  zmath
    7. M. D. Missarov, “Symmetry of the Renormalization Group in $p$-Adic Models”, Proc. Steklov Inst. Math., 245 (2004), 160–168  mathnet  mathscinet  zmath
    8. 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
    9. M. D. Missarov, R. G. Stepanov, “Epsilon-expansion in the $N$-component $\varphi^4$ model”, Theoret. and Math. Phys., 146:3 (2006), 304–320  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. 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
    11. 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
    12. Gubser S.S. Parikh S., “Geodesic Bulk Diagrams on the Bruhat-Tits Tree”, Phys. Rev. D, 96:6 (2017), 066024  crossref  isi
    13. Gubser S.S., Jepsen Ch., Parikh S., Trundy B., “O(N) and O(N) and O(N)”, J. High Energy Phys., 2017, no. 11, 107  crossref  isi
    14. Gubser S.S., Heydeman M., Jepsen Ch., Parikh S., Saberi I., Stoica B., Trundy B., “Melonic Theories Over Diverse Number Systems”, Phys. Rev. D, 98:12 (2018), 126007  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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