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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 2, Pages 291–297
DOI: https://doi.org/10.4213/tmf968 (Mi tmf968) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Numerical analysis of convergent perturbation theory in quantum field theory

D. I. Kazakova, A. I. Onitchenkob

a Joint Institute for Nuclear Research
b Moscow Institute of Physics and Technology
Full-text PDF (220 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf968
Abstract: Results of numerical analysis of convergency for a new series of perturbation theory are presented. Two examples are considered: anharmonic oscillator in quantum mechanics and the renormalization group $\beta$-function in field theory. It is shown that in the former case the series converges to an exact value in the wide region of the expansion parameter. This region can be enlarged by using the Padé approximation. In the field theory case the results have the stronger dependence on the expansion parameter. An algorithm of choosing this parameter in such a way as to obtain stable results is discussed.
Received: 05.08.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 2, Pages 229–234
DOI: https://doi.org/10.1007/BF02630448
Bibliographic databases:
Language: Russian
Citation: D. I. Kazakov, A. I. Onitchenko, “Numerical analysis of convergent perturbation theory in quantum field theory”, TMF, 110:2 (1997), 291–297; Theoret. and Math. Phys., 110:2 (1997), 229–234
Citation in format AMSBIB
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\by D.~I.~Kazakov, A.~I.~Onitchenko
\paper Numerical analysis of convergent perturbation theory in quantum field theory
\jour TMF
\yr 1997
\vol 110
\issue 2
\pages 291--297
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\crossref{https://doi.org/10.4213/tmf968}
\zmath{https://zbmath.org/?q=an:0946.81511}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 110
\issue 2
\pages 229--234
\crossref{https://doi.org/10.1007/BF02630448}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XR12900008}
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  • https://www.mathnet.ru/eng/tmf/v110/i2/p291
    • This publication is cited in the following 3 articles:
    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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