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Equivalence between non-localizable and local fields

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Abstract

We discuss the nature of non-localisable fields constructed as certain limits of sequences of local fields. For sequences for which the corresponding Wightman functions converge we construct a PCT operator; if the sequences converge strongly in a given Hilbert space then a scattering theory can be constructed for the non-localisable limit field. Such fields are shown to have the sameS-operator as any local field which has the defining sequence of local fields in its Borchers class, and has the same in field. We give non-trivial examples of this equivalence between local and non-localisable fields.

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Authors and Affiliations

  1. Department of Mathematics, King's College, London, UK

    J. G. Taylor

  2. Department of Applied Mathematics, University of Frankfurt, Federal Republic of Germany

    F. Constantinescu

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  1. J. G. Taylor
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  2. F. Constantinescu
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Taylor, J.G., Constantinescu, F. Equivalence between non-localizable and local fields. Commun.Math. Phys. 30, 211–227 (1973). https://doi.org/10.1007/BF01837359

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  • DOI: https://doi.org/10.1007/BF01837359

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