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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 2, Pages 225–234 (Mi tmf1681)  

This article is cited in 32 scientific papers (total in 32 papers)

Calculation of loop integrals by dimensional counting

D. T. Gegeliya, G. Sh. Dzhaparidze, K. Sh. Turashvili

Tbilisi Ivane Javakhishvili State University
References:
Abstract: In the framework of dimensional regularization, a new method is proposed for calculating loop integrals on the basis of the analytic properties of these integrals. In this regularization, the results are represented by generalized hypergeometric series. The method makes it possible to relate the expansion coefficients of these series to the original integral. Such a representation of the coefficients greatly simplifies the calculations even in the case of multiloop integrals with any number of masses.
Received: 23.08.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 2, Pages 1313–1319
DOI: https://doi.org/10.1007/BF01018279
Bibliographic databases:
Language: Russian
Citation: D. T. Gegeliya, G. Sh. Dzhaparidze, K. Sh. Turashvili, “Calculation of loop integrals by dimensional counting”, TMF, 101:2 (1994), 225–234; Theoret. and Math. Phys., 101:2 (1994), 1313–1319
Citation in format AMSBIB
\Bibitem{GegDzhTur94}
\by D.~T.~Gegeliya, G.~Sh.~Dzhaparidze, K.~Sh.~Turashvili
\paper Calculation of loop integrals by dimensional counting
\jour TMF
\yr 1994
\vol 101
\issue 2
\pages 225--234
\mathnet{http://mi.mathnet.ru/tmf1681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348386}
\zmath{https://zbmath.org/?q=an:0962.81511}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 2
\pages 1313--1319
\crossref{https://doi.org/10.1007/BF01018279}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QY17400006}
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  • https://www.mathnet.ru/eng/tmf1681
  • https://www.mathnet.ru/eng/tmf/v101/i2/p225
  • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:370
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    References:35
    First page:1
     
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