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When is a field theory a generalized free field?

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Abstract

We show within a scalar relativistic quantum field theory that if either some even truncatedn-point-function vanishes or some multiple commutator of the field operators is a c-number then the field is necessarily a generalized free field.

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Authors and Affiliations

  1. Bell Laboratories, Murray Hill, New Jersey, USA

    Klaus Baumann

  2. Max-Planck-Institut für Physik und Astrophysik, München, Federal Republic of Germany

    Klaus Baumann

Authors
  1. Klaus Baumann
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Communicated by A.S. Wightman

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Baumann, K. When is a field theory a generalized free field?. Commun.Math. Phys. 43, 221–223 (1975). https://doi.org/10.1007/BF02345021

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  • DOI: https://doi.org/10.1007/BF02345021

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