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Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators
A. V. Voronin
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.
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Theoretical and Mathematical Physics, 1986, 66:1, 8–19
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Received: 02.04.1985
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://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986D593000002}
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http://mi.mathnet.ru/eng/tmf4591 http://mi.mathnet.ru/eng/tmf/v66/i1/p13
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