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Characterization of particles by means of local observables

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Abstract

We introduce the notion of singly localized states and use it to characterize the one-particle states as those states which are singly localized at all times. For theories which satisfy the Haag-Swieca compactness criterion, we show that a state has a discrete mass spectrum if and only if it is a “geometrical one-particle state”.

Using a mathematical description of coincidence arrangements of counters we show that in asymptotically complete theories the asymptotic particle number is the asymptotic number of localization centres.

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Authors and Affiliations

  1. Abteilung für Theoretische Physik, Fakultät für Physik der Universität Bielefeld, D-4800, Bielefeld 1, Federal Republic of Germany

    Volker Enss

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  1. Volker Enss
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Communicated by R. Haag

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Enss, V. Characterization of particles by means of local observables. Commun.Math. Phys. 45, 35–52 (1975). https://doi.org/10.1007/BF01609864

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  • DOI: https://doi.org/10.1007/BF01609864

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