Asymptotic conditions and infrared divergences in quantum electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 153-170

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A definition which is free of infrared divergences is proposed for the $S$ matrix of a reiativistic theory of interacting charged particles. This is achieved by a modification of the asymptotic condition and the introduction of a new simce of asymptotic states. This state differs from the Fok space, but is separable and relatlvistically and gauge invariant. The mass operator has no nonvanishing discrete eigenvalues.
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     author = {P. P. Kulish and L. D. Faddeev},
     title = {Asymptotic conditions and infrared divergences in quantum electrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
     year = {1970},
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P. P. Kulish; L. D. Faddeev. Asymptotic conditions and infrared divergences in quantum electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 153-170. http://geodesic.mathdoc.fr/item/TMF_1970_4_2_a1/