Yu. A. Kubyshin, “Corrections to the asymptotic expressions for the higher orders of perturbation theory”, TMF, 57:3 (1983), 363–372; Theoret. and Math. Phys., 57:3 (1983), 1196

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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 3, Pages 363–372 (Mi tmf2268)

This article is cited in 9 scientific papers (total in 9 papers)

Corrections to the asymptotic expressions for the higher orders of perturbation theory

Yu. A. Kubyshin

Full-text PDF (499 kB) Citations (9)

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Abstract: A technique is developed for calculating the corrections in $1/n$ to the asymptotic expression for the $n$-th term of the perturbation series for the example of the scalar massless model $\varphi_{(4)}^4$ with internal symmetry $O(N)$. The first correction for the $\beta$ function is obtained.

Received: 03.01.1983

English version:
Theoretical and Mathematical Physics, 1983, Volume 57, Issue 3, Pages 1196–1202
DOI: https://doi.org/10.1007/BF01018746

Bibliographic databases:

Language: Russian

Citation: Yu. A. Kubyshin, “Corrections to the asymptotic expressions for the higher orders of perturbation theory”, TMF, 57:3 (1983), 363–372; Theoret. and Math. Phys., 57:3 (1983), 1196–1202

Citation in format AMSBIB

\Bibitem{Kub83}

\by Yu.~A.~Kubyshin

\paper Corrections to the asymptotic expressions for the higher orders of perturbation theory

\jour TMF

\yr 1983

\vol 57

\issue 3

\pages 363--372

\mathnet{http://mi.mathnet.ru/tmf2268}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=735395}

\transl

\jour Theoret. and Math. Phys.

\yr 1983

\vol 57

\issue 3

\pages 1196--1202

\crossref{https://doi.org/10.1007/BF01018746}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SY87100004}

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https://www.mathnet.ru/eng/tmf2268

https://www.mathnet.ru/eng/tmf/v57/i3/p363

This publication is cited in the following 9 articles:

M. V. Komarova, M. Yu. Nalimov, “Convergent perturbation theory and the strong coupling limit in quantum electrodynamics”, Theoret. and Math. Phys., 216:3 (2023), 1360–1372
Marina Komarova, Mikhail Kompaniets, Mikhail Nalimov, Springer Proceedings in Complexity, 15th Chaotic Modeling and Simulation International Conference, 2023, 141
Kompaniets M.V. Panzer E., “Minimally Subtracted Six-Loop Renormalization of O(N)-Symmetric Phi(4) Theory and Critical Exponents”, Phys. Rev. D, 96:3 (2017), 036016
M. V. Komarova, M. Yu. Nalimov, “Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory”, Theoret. and Math. Phys., 143:2 (2005), 664–680
Yudin, IL, “Perturbation theory with convergent series: the calculation of the lambda phi(4)((4))-field theory beta-function”, Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment, 502:2–3 (2003), 633
Yu. A. Kubyshin, P. G. Tinyakov, “Instanton propagator and instanton induced processes in a scalar model”, Phys. Rev. D, 65:8 (2002)
M. V. Komarova, M. Yu. Nalimov, “Asymptotic Behavior of Renormalization Constants in Higher Orders of the Perturbation Expansion for the $(4?\epsilon)$-Dimensionally Regularized $O(n)$-Symmetric $\phi^4$ Theory”, Theoret. and Math. Phys., 126:3 (2001), 339–353
I. D. Mandzhavidze, A. N. Sisakyan, “Perturbation theory in the neighborhood of extended objects”, Theoret. and Math. Phys., 123:3 (2000), 776–791
Yu. A. Kubyshin, “Sommerfeld–Watson summation of perturbation series”, Theoret. and Math. Phys., 58:1 (1984), 91–97

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	543
Full-text PDF :	130
References:	77
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