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. © 1986 Springer-Verlag.
CITATION STYLE
Buchholz, D., & Wichmann, E. H. (1986). Causal independence and the energy-level density of states in local quantum field theory. Communications in Mathematical Physics, 106(2), 321–344. https://doi.org/10.1007/BF01454978
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