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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 1, Pages 13–29 (Mi tmf4591)  

Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators

A. V. Voronin
References:
Abstract: The main results of earlier work by the author, Sushko, and Khoruzhii [4,5] describing the algebraic structure of quantum-field systems with (discrete) vacuum superselection rules are generalized to the large class of Wightman theories with essentially selfadjoint field operators (in [4,5], a very strong restriction was imposed on the theory, namely, that the polynomial $\operatorname{Op}^*$ algebra of the Wightman fields $\mathscr P$ belongs to the class II, i.e., $\mathscr P'_{\mathrm s}=\mathscr P'_{\mathrm w}$). It is also shown that the field $\operatorname{Op}^*$ algebra of a Wightman theory with discrete vacuum superselection rule possesses a class II extension.
Received: 02.04.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 1, Pages 8–19
DOI: https://doi.org/10.1007/BF01028934
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Voronin, “Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators”, TMF, 66:1 (1986), 13–29; Theoret. and Math. Phys., 66:1 (1986), 8–19
Citation in format AMSBIB
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\by A.~V.~Voronin
\paper Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 13--29
\mathnet{http://mi.mathnet.ru/tmf4591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=831415}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 8--19
\crossref{https://doi.org/10.1007/BF01028934}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986D593000002}
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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