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

1986; Springer Science+Business Media; Volume: 106; Issue: 2 Linguagem: Inglês

10.1007/bf01454978

1432-0916

Detlev Buchholz, Eyvind H. Wichmann,

Cold Atom Physics and Bose-Einstein Condensates

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.