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 TMF, 1972, Volume 11, Number 3, Pages 331–336 (Mi tmf2872)

Note on the construction of the Bogolyubov scattering operator in the $({:}\varphi^4{:})_2$ theory

W. F. Wrezinski

Abstract: 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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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 547–551

Bibliographic databases:

Citation: W. F. Wrezinski, “Note on the construction of the Bogolyubov scattering operator in the $({:}\varphi^4{:})_2$ theory”, TMF, 11:3 (1972), 331–336; Theoret. and Math. Phys., 11:3 (1972), 547–551

Citation in format AMSBIB
\Bibitem{Wre72} \by W.~F.~Wrezinski \paper Note on the construction of the Bogolyubov scattering operator in the $({:}\varphi^4{:})_2$ theory \jour TMF \yr 1972 \vol 11 \issue 3 \pages 331--336 \mathnet{http://mi.mathnet.ru/tmf2872} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=475484} \transl \jour Theoret. and Math. Phys. \yr 1972 \vol 11 \issue 3 \pages 547--551 \crossref{https://doi.org/10.1007/BF01028370} 

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This publication is cited in the following articles:
1. I. D. Chueshov, “Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory”, Theoret. and Math. Phys., 27:3 (1976), 488–494
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