Geodesic
Adiabatic definition of the $S$-matrix when infrared divergences are present
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 162-172

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A definition is proposed for the (renormalized) $S$-matrix for theories with infrared divergences; it is based on the adiabatic switehing-onandswitching-offofthe interaction. It is established that the proposed definition is equivalent to the usual definition. 
@article{TMF_1972_11_2_a2,
     author = {Yu. S. Tyupkin},
     title = {Adiabatic definition of the $S$-matrix when infrared divergences are present},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {162--172},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a2/}
}
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Yu. S. Tyupkin. Adiabatic definition of the $S$-matrix when infrared divergences are present. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 162-172. http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a2/