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 TMF, 1971, Volume 9, Number 3, Pages 305–317 (Mi tmf4487)

Translationally invariant limit of the Lee model. II

Abstract: 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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English version:
Theoretical and Mathematical Physics, 1971, 9:3, 1155–1164

Citation: L. A. Dadashev, “Translationally invariant limit of the Lee model. II”, TMF, 9:3 (1971), 305–317; Theoret. and Math. Phys., 9:3 (1971), 1155–1164

Citation in format AMSBIB
\Bibitem{Dad71} \by L.~A.~Dadashev \paper Translationally invariant limit of the Lee model.~II \jour TMF \yr 1971 \vol 9 \issue 3 \pages 305--317 \mathnet{http://mi.mathnet.ru/tmf4487} \transl \jour Theoret. and Math. Phys. \yr 1971 \vol 9 \issue 3 \pages 1155--1164 \crossref{https://doi.org/10.1007/BF01043404} 

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This publication is cited in the following articles:
1. L. A. Dadashev, “Asymptotic fields and the $S$ matrix in the lowest sector of the Lee model”, Theoret. and Math. Phys., 16:1 (1973), 743–750
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