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Local nets and self-adjoint extensions of quantum field operators

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Abstract

We consider Wightman fields having the property that some closed extensions of the field operators generate locally commuting von Neumann algebras. We show that for such fields the hermitian field operators have self-adjoint extensions, possibly in an enlarged Hilbert space, such that bounded functions of the self-adjoint operators commute locally.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, Bunsentrasse 9, D3400, Göttingen, Germany

    H. J. Borchers

  2. Department of Physics, University of Iceland, Reykjavik, Iceland

    Jakob Yngvason

Authors
  1. H. J. Borchers
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  2. Jakob Yngvason
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Borchers, H.J., Yngvason, J. Local nets and self-adjoint extensions of quantum field operators. Lett Math Phys 21, 151–155 (1991). https://doi.org/10.1007/BF00401649

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  • DOI: https://doi.org/10.1007/BF00401649

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