Dyson–Schwinger equation for a system of two particles in quantum electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 1, pp. 44-53
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
[1] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl
[2] K. Nishijima, Field Theory and Dispersion relations, New-York–Amsterdam, 1969
[3] J. Schwinger, Proc. Nat. Acad. Sci. USA, 37 (1951), 455 | DOI | MR | Zbl
[4] F. Dyson, Phys. Rev., 75 (1949), 1736 | DOI | MR | Zbl
[5] T. Fulton, P. Martin, Phys. Rev., 95 (1954), 811 | DOI | Zbl
[6] S. Mandelstam, Proc. Roy. Soc., 233A (1955), 248 | DOI | MR | Zbl
[7] R. N. Faustov, Preprint OIYaI 8246, Dubna, 1974
[8] A. Logunov, A. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR
[9] R. N. Faustov, EChAYa, 3 (1972), 238