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Causal independence and the energy-level density of states in local quantum field theory

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Abstract

Within the general framework of local quantum field theory a physically motivated condition on the energy-level density of well-localized states is proposed and discussed. It is shown that any model satisfying this condition obeys a strong form of the principle of causal (statistical) independence, which manifests itself in a specific algebraic structure of the local algebras (“split property”). It is also shown that the proposed condition holds in a free field theory.

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Authors and Affiliations

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

    Detlev Buchholz

  2. Department of Physics, University of California, 94720, Berkeley, CA, USA

    Eyvind H. Wichmann

Authors
  1. Detlev Buchholz
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  2. Eyvind H. Wichmann
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Additional information

Communicated by K. Osterwalder

Dedicated to H. J. Borchers on the occasion of his 60th birthday

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Buchholz, D., Wichmann, E.H. Causal independence and the energy-level density of states in local quantum field theory. Commun.Math. Phys. 106, 321–344 (1986). https://doi.org/10.1007/BF01454978

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  • DOI: https://doi.org/10.1007/BF01454978

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