Abstract:
The model of a scalar field with interaction potential μexp(−12λφ2)μexp(−12λφ2) in dd-dimensional spacetime (d⩾2) is considered. It is shown that the Green's functions of the model are the same as the Green's functions of the free field.
\Bibitem{Zar92}
\by K.~L.~Zarembo
\paper The $\exp(-\frac12\lambda\varphi^2)$ model of quantum field theory
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 411--417
\mathnet{http://mi.mathnet.ru/tmf5594}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187019}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 613--617
\crossref{https://doi.org/10.1007/BF01017336}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KL55200005}
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This publication is cited in the following 1 articles:
A. I. Kirillov, “Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure”, Theoret. and Math. Phys., 98:1 (1994), 8–19