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  • 1
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We isolate an abstract algebraic property which implies duality in all locally normal, irreducible representations of a quasilocalC*-algebra if it holds together with two more specific conditions. All these conditions holding for the CCR-algebra ind≧2 space time dimensions duality follows for representations of the two-dimensional CCR-algebra generated by pure Wightman states ofP(Φ)2-theories. We then show that algebras of this kind have no nontrivial locally generated superselection sectors which ford≧3 yields a first approximation to a quantum analogue of Derrick's theorem.
    Type of Medium: Electronic Resource
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