Communications in Mathematical Physics

, Volume 106, Issue 2, pp 321–344

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

  • Detlev Buchholz
  • Eyvind H. Wichmann

DOI: 10.1007/BF01454978

Cite this article as:
Buchholz, D. & Wichmann, E.H. Commun.Math. Phys. (1986) 106: 321. doi:10.1007/BF01454978


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.

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Detlev Buchholz
    • 1
  • Eyvind H. Wichmann
    • 2
  1. 1.II. Institut für Theoretische Physik der Universität HamburgHamburg 50Germany
  2. 2.Department of PhysicsUniversity of CaliforniaBerkeleyUSA

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