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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 1, Pages 37–54 (Mi tmf5496)  
This article is cited in 11 scientific papers (total in 11 papers)

Variational perturbation theory. φ2k oscillator

L. D. Korsun, A. N. Sisakyan, I. L. Solovtsov

Joint Institute for Nuclear Research
Full-text PDF (1409 kB) Citations (11)
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Abstract: Variational pertaarbation theory is used to study the anharmonic φ2k oscillator in the strong coupling limit. Nonpermrbative expressions are obtained for the vacuum energy, the Green's function, and the effective potential.
Received: 28.06.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 1, Pages 22–34
DOI: https://doi.org/10.1007/BF01018815
Bibliographic databases:
Language: Russian
Citation: L. D. Korsun, A. N. Sisakyan, I. L. Solovtsov, “Variational perturbation theory. φ2k oscillator”, TMF, 90:1 (1992), 37–54; Theoret. and Math. Phys., 90:1 (1992), 22–34
Citation in format AMSBIB
\Bibitem{KorSisSol92}
\by L.~D.~Korsun, A.~N.~Sisakyan, I.~L.~Solovtsov
\paper Variational perturbation theory. $\varphi^{2k}$ oscillator
\jour TMF
\yr 1992
\vol 90
\issue 1
\pages 37--54
\mathnet{http://mi.mathnet.ru/tmf5496}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1162302}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 1
\pages 22--34
\crossref{https://doi.org/10.1007/BF01018815}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JP02000004}
Linking options:
  • https://www.mathnet.ru/eng/tmf5496
  • https://www.mathnet.ru/eng/tmf/v90/i1/p37
    • This publication is cited in the following 11 articles:
    1. Kilian Fraboulet, Jean-Paul Ebran, “Addressing energy density functionals in the language of path-integrals I: comparative study of diagrammatic techniques applied to the (0 + 0)-D O(N)-symmetric $\varphi ^{4}$-theory”, Eur. Phys. J. A, 59:4 (2023)  crossref
    2. Guskov V.A. Ivanov M.G. Ogarkov S.L., “A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory”, Phys. Part. Nuclei, 52:3 (2021), 420–437  crossref  isi
    3. Ivan Chebotarev, Vladislav Guskov, Stanislav Ogarkov, Matthew Bernard, “S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation”, Particles, 2:1 (2019), 103  crossref
    4. Matthew Bernard, Vladislav A. Guskov, Mikhail G. Ivanov, Alexey E. Kalugin, Stanislav L. Ogarkov, “Nonlocal Scalar Quantum Field Theory—Functional Integration, Basis Functions Representation and Strong Coupling Expansion”, Particles, 2:3 (2019), 385  crossref
    5. V. N. Kapshai, L. D. Korsun, “O statsionarnoi teorii vozmuschenii v sluchae potentsiala-ryada”, PFMT, 2011, no. 1(6), 29–35  mathnet
    6. I. L. Solovtsov, V. G. Teplyakov, “Nonperturbative expansion in quantum chromodynamics and the inclusive decay of the τ lepton”, Russ Phys J, 41:10 (1998), 1038  crossref
    7. I.L Solovtsov, O.P Solovtsova, “Re+e- at low energies in variational perturbation theory”, Physics Letters B, 344:1-4 (1995), 377  crossref
    8. I.L. Solovtsov, “Nonperturbative expansion in QCD”, Physics Letters B, 340:4 (1994), 245  crossref
    9. I.L. Solovtsov, “New expansion in QCD”, Physics Letters B, 327:3-4 (1994), 335  crossref
    10. A.N. Sissakian, I.L. Solovtsov, O.Yu. Shevchenko, “Gaussian effective potential in variational perturbation theory”, Physics Letters B, 313:3-4 (1993), 367  crossref
    11. A.N. Sissakian, I.L. Solovtsov, O.Yu. Shevchenko, “Convergent series in variational perturbation theory”, Physics Letters B, 297:3-4 (1992), 305  crossref
    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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