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Some remarks about the localization of states in a quantum field theory

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Abstract

For the case of a field theory with a nuclear space of test functions (for instance, the space of strongly decreasing test functions) compact sets of states are constructed; these correspond to sets of localized states. Only such states are considered which are elements of a fixed subspace of the entire Hilbert space. This subspace belongs to them-point functions of order less than a certain fixed 2n.

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Authors and Affiliations

  1. University of Maryland, College Park, Maryland

    Siegfried Schlieder

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  1. Siegfried Schlieder
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Supported in part by the Air Force Office of Scientific Research under Grant AF 500–64

On leave of absence from the Max Planck-Institut für Physik und Astrophysik, München.

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Schlieder, S. Some remarks about the localization of states in a quantum field theory. Commun.Math. Phys. 1, 265–280 (1965). https://doi.org/10.1007/BF01645904

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  • DOI: https://doi.org/10.1007/BF01645904

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