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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 2, Pages 227–237 (Mi tmf1735)  

This article is cited in 2 scientific papers (total in 2 papers)

Hierarchical Dyson model and $p$-adic conformal invariance

É. Yu. Lerner

Kazan State University
References:
Abstract: The condition of conformal invariance of a field of a $p$-adic argument is reformulated in terms of the hierarchical Dyson model. A non-Gaussian scale-invariant random field of ap-adic argument ($\varphi _d^4$ theory with propagator $|x-y|^{-d/2+\varepsilon }$), is rigorously constructed, and its conformal invariance is proved.
Received: 11.11.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 97, Issue 2, Pages 1259–1266
DOI: https://doi.org/10.1007/BF01016871
Bibliographic databases:
Language: Russian
Citation: É. Yu. Lerner, “Hierarchical Dyson model and $p$-adic conformal invariance”, TMF, 97:2 (1993), 227–237; Theoret. and Math. Phys., 97:2 (1993), 1259–1266
Citation in format AMSBIB
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\by \'E.~Yu.~Lerner
\paper Hierarchical Dyson model and $p$-adic conformal invariance
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\yr 1993
\vol 97
\issue 2
\pages 227--237
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1257868}
\zmath{https://zbmath.org/?q=an:0840.22038}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 2
\pages 1259--1266
\crossref{https://doi.org/10.1007/BF01016871}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NK68000005}
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  • https://www.mathnet.ru/eng/tmf/v97/i2/p227
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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