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There are no scalar Lie fields in three or more dimensional space-time

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Abstract

We show that a Lie field structure is incompatible with a scalar relativistic quantum field theory if the dimension of space-time is greater than two. Our main argument is based on the Jacobi identity and the spectrum condition.

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Author notes

  1. Klaus Baumann

    Present address: Max-Planck-Institut für Physik und Astrophysik, D-8000, München, Federal Republic of Germany

Authors and Affiliations

  1. Bell Laboratories, 07974, Murray Hill, New Jersey, USA

    Klaus Baumann

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

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Baumann, K. There are no scalar Lie fields in three or more dimensional space-time. Commun.Math. Phys. 47, 69–74 (1976). https://doi.org/10.1007/BF01609354

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  • DOI: https://doi.org/10.1007/BF01609354

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