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
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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.
@article{TMF_1986_66_1_a1,
author = {A. V. Voronin},
title = {Discrete vacuum superselection rule in {Wightman} theory with essentially self-adjoint field operators},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {13--29},
publisher = {mathdoc},
volume = {66},
number = {1},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a1/}
}
TY - JOUR AU - A. V. Voronin TI - Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 13 EP - 29 VL - 66 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a1/ LA - ru ID - TMF_1986_66_1_a1 ER -
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/