Geodesic
Translationally invariant limit of the Lee model.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 305-317

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It is shown that the translationally invariant limit ot the boson field in the Lee model exists and is equal to the free field. As a result, the translationally invariant scattering matrix exists also, but it is equal to the identity. The calculation of the same matrix by the standard perturbation theory procedure gives rise to divergent expressions. This means that we have demonstrated in the particular case that the divergencies of the quantum field theory can be caused by using of the perturbation theory. 
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     author = {L. A. Dadashev},
     title = {Translationally invariant limit of the {Lee} {model.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {305--317},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a0/}
}
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L. A. Dadashev. Translationally invariant limit of the Lee model.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 305-317. http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a0/