Geodesic
Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 13-29 
A. V. Voronin. Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 13-29. http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a1/
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     title = {Discrete vacuum superselection rule in {Wightman} theory with essentially self-adjoint field operators},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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