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 TMF, 1977, Volume 32, Number 1, Pages 44–53 (Mi tmf3134)

Dyson–Schwinger equation for a system of two particles in quantum electrodynamics

A. Karimkhodzhaev, R. N. Faustov

Abstract: The Dyson–Schwinger type representation for the kernel of the Bethe–Salpeter equation is derived. This representation makes it possible to perform the partial summation of irreducible diagrams which is necessary e.g. in the presence of two-particle bound states in quantum electrodynamics. The approximate expression for the kernel taking into account the effects of binding is constructed.

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English version:
Theoretical and Mathematical Physics, 1977, 32:1, 585–591

Citation: A. Karimkhodzhaev, R. N. Faustov, “Dyson–Schwinger equation for a system of two particles in quantum electrodynamics”, TMF, 32:1 (1977), 44–53; Theoret. and Math. Phys., 32:1 (1977), 585–591

Citation in format AMSBIB
\Bibitem{KarFau77} \by A.~Karimkhodzhaev, R.~N.~Faustov \paper Dyson--Schwinger equation for a~system of two particles in quantum electrodynamics \jour TMF \yr 1977 \vol 32 \issue 1 \pages 44--53 \mathnet{http://mi.mathnet.ru/tmf3134} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 1 \pages 585--591 \crossref{https://doi.org/10.1007/BF01041431} 

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This publication is cited in the following articles:
1. N. E. Nyun'ko, Yu. N. Tyukhtyaev, R. N. Faustov, “Construction of the kernel of the equation for the total Green's function of positronium”, Theoret. and Math. Phys., 44:3 (1980), 838–842
2. Yu. N. Tyukhtyaev, “New method of allowing for the Coulomb interaction in the Logunov–Tavkhelidze quasipotential approach”, Theoret. and Math. Phys., 53:3 (1982), 1217–1223
3. K. Kilimann, D. Kremp, G. Röpke, “Theory of bound states of fermions in many-body systems”, Theoret. and Math. Phys., 55:3 (1983), 611–619
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