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

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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.
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     author = {M. A. Braun and A. N. Vasil'ev and A. L. Kitanin and Yu. M. Pis'mak},
     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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     number = {2},
     year = {1978},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_2_a2/}
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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/