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 TMF, 1972, Volume 11, Number 3, Pages 301–316 (Mi tmf2870)

On equations for the matrix elements of Euclidean quantum electrodynamics

A. L. Rebenko

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.

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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 525–536

Bibliographic databases:

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://www.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} 

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• http://mi.mathnet.ru/eng/tmf/v11/i3/p301

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

This publication is cited in the following articles:
1. E. B. Gledzer, A. S. Monin, “The method of diagrams in perturbation theory”, Russian Math. Surveys, 29:3 (1974), 117–168
2. 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
3. V. A. Golubeva, “Some problems in the analytic theory of Feynman integrals”, Russian Math. Surveys, 31:2 (1976), 139–207
4. 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
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