Geodesic
On renormalization and the $\mathscr R$-operation for quantum electrodynamics in an external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 158-169 
M. A. Braun; A. N. Vasil'ev; A. L. Kitanin; Yu. M. Pis'mak. On renormalization and the $\mathscr R$-operation for quantum electrodynamics in an external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 2, pp. 158-169. http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a2/
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     title = {On~renormalization and the $\mathscr R$-operation for quantum electrodynamics in an~external field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {34},
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     language = {ru},
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Voir la notice de l'article provenant de la source Math-Net.Ru

For quantum electrodynamics in an external stationary field it is shown (without a series expansion in $U$) that the procedure of multiplicative renormalization with the same values of the renormalization constants as in the theory without external field makes all observable quantities finite.

[1] M. A. Braun, T. N. Sibirkina, TMF, 12 (1972), 48

[2] E. S. Fradkin, Tr. FIAN SSSR, 29 (1965), 50

[3] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl

[4] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969 | MR

[5] A. N. Vasilev, Funktsionalnye metody v kvantovoi teorii polya i statistike, LGU, 1976

[6] S. A. Anikin, O. I. Zavyalov, Preprint OIYaI D2-9259, Dubna, 1975