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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 11, Number 3, Pages 301–316 (Mi tmf2870)  
This article is cited in 6 scientific papers (total in 6 papers)

On equations for the matrix elements of Euclidean quantum electrodynamics

A. L. Rebenko
Full-text PDF (1643 kB) Citations (6)
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Abstract: Equations are obtained for the elements of the S matrix of Euclidean quantum electrodynamics. The generating operator of these equations is investigated. On the basis of the analogy between the interaction Hamiltonian and the generating operator it is shown (under certain restrictions on the form factor) that the perturbation series converge for arbitrary values of the coupling constant.
Received: 22.06.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 11, Issue 3, Pages 525–536
DOI: https://doi.org/10.1007/BF01028368
Bibliographic databases:
Language: Russian
Citation: A. L. Rebenko, “On equations for the matrix elements of Euclidean quantum electrodynamics”, TMF, 11:3 (1972), 301–316; Theoret. and Math. Phys., 11:3 (1972), 525–536
Citation in format AMSBIB
\Bibitem{Reb72}
\by A.~L.~Rebenko
\paper On equations for the matrix elements of Euclidean quantum electrodynamics
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 301--316
\mathnet{http://mi.mathnet.ru/tmf2870}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475474}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 525--536
\crossref{https://doi.org/10.1007/BF01028368}
Linking options:
  • https://www.mathnet.ru/eng/tmf2870
  • https://www.mathnet.ru/eng/tmf/v11/i3/p301
    • This publication is cited in the following 6 articles:
    1. 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
    2. Ivanov M.G. Kalugin A.E. Ogarkova A.A. Ogarkov S.L., “On Functional Hamilton-Jacobi and Schrodinger Equations and Functional Renormalization Group”, Symmetry-Basel, 12:10 (2020), 1657  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. V. A. Golubeva, “Some problems in the analytic theory of Feynman integrals”, Russian Math. Surveys, 31:2 (1976), 139–207  mathnet  crossref  zmath
    5. E. B. Gledzer, A. S. Monin, “The method of diagrams in perturbation theory”, Russian Math. Surveys, 29:3 (1974), 117–168  mathnet  crossref  mathscinet  zmath
    6. S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “On equations for the coefficient functions of the $S$-matrix in quantum field theory”, Theoret. and Math. Phys., 19:1 (1974), 332–339  mathnet  crossref
    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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