Geodesic
Note on the construction of the Bogolyubov scattering operator in the $({:}\varphi^4{:})_2$ theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 331-336

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The Bogolyubov scattering operator $S(g)$ is constructed for the ${:}\varphi^4{:}_2$ theory in the special case when the space-time cutoff has a product structure that consists of two smooth functions: one corresponding to a time cutoff and the other to a space cutoff. Unitarity and causality are verified for this operator. The generalization of these results to a large class of cutoffs is discussed. 
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     author = {W. F. Wrezinski},
     title = {Note on the construction of the {Bogolyubov} scattering operator in the $({:}\varphi^4{:})_2$ theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {331--336},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a5/}
}
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W. F. Wrezinski. Note on the construction of the Bogolyubov scattering operator in the $({:}\varphi^4{:})_2$ theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 331-336. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a5/