, Volume 106, Issue 2, pp 321-344

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

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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.

Dedicated to H. J. Borchers on the occasion of his 60th birthday
Communicated by K. Osterwalder