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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 123, Number 3, Pages 462–475
DOI: https://doi.org/10.4213/tmf616
(Mi tmf616)
 

Dimensional renormalization in $p$-adic models of field theory

É. Yu. Lerner, M. D. Missarov

Kazan State University
References:
Abstract: We define fractional-dimensional $p$-adic Feynman amplitudes and construct a dimensional renormalization with minimum subtractions. In the fermionic model case, another dimensional renormalization procedure is defined as the inversion of the normalizing transformation at the trivial stable point for the hierarchical renormalization group transformation.
Received: 30.07.1999
Revised: 28.09.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 123, Issue 3, Pages 801–812
DOI: https://doi.org/10.1007/BF02551034
Bibliographic databases:
Language: Russian
Citation: É. Yu. Lerner, M. D. Missarov, “Dimensional renormalization in $p$-adic models of field theory”, TMF, 123:3 (2000), 462–475; Theoret. and Math. Phys., 123:3 (2000), 801–812
Citation in format AMSBIB
\Bibitem{LerMis00}
\by \'E.~Yu.~Lerner, M.~D.~Missarov
\paper Dimensional renormalization in $p$-adic models of field theory
\jour TMF
\yr 2000
\vol 123
\issue 3
\pages 462--475
\mathnet{http://mi.mathnet.ru/tmf616}
\crossref{https://doi.org/10.4213/tmf616}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1794013}
\zmath{https://zbmath.org/?q=an:1066.81590}
\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 3
\pages 801--812
\crossref{https://doi.org/10.1007/BF02551034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000088926700008}
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  • https://doi.org/10.4213/tmf616
  • https://www.mathnet.ru/eng/tmf/v123/i3/p462
  • 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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    References:67
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