Communications in Mathematical Physics

, Volume 106, Issue 2, pp 321-344

First online:

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

  • Detlev BuchholzAffiliated withII. Institut für Theoretische Physik der Universität Hamburg
  • , Eyvind H. WichmannAffiliated withDepartment of Physics, University of California

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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.