Communications in Mathematical Physics

, Volume 106, Issue 2, pp 321–344 | Cite as

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

  • Detlev Buchholz
  • Eyvind H. Wichmann


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.


Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
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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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