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On generally covariant quantum field theory and generalized causal and dynamical structures

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Abstract

We give an example of a generally covariant quasilocal algebra associated with the massive free field. Maximal, two-sided ideals of this algebra are algebraic representatives of external metric fields. In some sense, this algebra may be regarded as a concrete realization of Ekstein's ideas of presymmetry in quantum field theory. Using ideas from our example and from usual algebraic quantum field theory, we discuss a generalized scheme, in which maximal ideals are viewed as algebraic representatives of dynamical equations or Lagrangians. The considered frame is no quantum gravity, but may lead to further insight into the relation between quantum theory and space-time geometry.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, D-2000, Hamburg 50, Germany

    Ulrich Bannier

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  1. Ulrich Bannier
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Communicated by A. Jaffe

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Bannier, U. On generally covariant quantum field theory and generalized causal and dynamical structures. Commun.Math. Phys. 118, 163–170 (1988). https://doi.org/10.1007/BF01218481

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  • DOI: https://doi.org/10.1007/BF01218481

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