Abstract:
A model of a field with bounded current density is investigated. It is shown that there exists an infinite-fold integral that determines a generating functional of the Schwinger functions. It is shown that this functional is the Fourier transform of a probability measure on the field trajectories that is concentrated in a Hilbert subspace of the space of tempered distributions of first order of singularity. It is shown that the field satisfies the strong regularity axiom of Osterwalder and Schrader.
Citation:
A. I. Kirillov, “Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure”, TMF, 98:1 (1994), 12–28; Theoret. and Math. Phys., 98:1 (1994), 8–19
\Bibitem{Kir94}
\by A.~I.~Kirillov
\paper Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure
\jour TMF
\yr 1994
\vol 98
\issue 1
\pages 12--28
\mathnet{http://mi.mathnet.ru/tmf1397}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1291363}
\zmath{https://zbmath.org/?q=an:0817.35094}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 98
\issue 1
\pages 8--19
\crossref{https://doi.org/10.1007/BF01015118}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NV61800002}
Linking options:
https://www.mathnet.ru/eng/tmf1397
https://www.mathnet.ru/eng/tmf/v98/i1/p12
This publication is cited in the following 5 articles:
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