
The spacelike asymptotic structure of physical states in local quantum theory is analysed. It is shown that this structure can be described in terms of a vacuum state if the theory satisfies a condition of timelike asymptotic abelianess. Theories which violate this condition can have an involved asymptotic vacuum structure as is illustrated by a simple example.
13 pp. (1991).
asymptotic vacuum structure, axiomatic field theory, space-like asymptotic structure of physical states in local quantum theory, coherent state, algebra: Weyl, 81T05, Axiomatic quantum field theory; operator algebras, time-like asymptotic Abelianness, 510, vacuum state, Applications of functional analysis in quantum physics, asymptotic behavior, correlation function, Haag-Kastler axioms, operator: algebra, info:eu-repo/classification/ddc/510, 46L60
asymptotic vacuum structure, axiomatic field theory, space-like asymptotic structure of physical states in local quantum theory, coherent state, algebra: Weyl, 81T05, Axiomatic quantum field theory; operator algebras, time-like asymptotic Abelianness, 510, vacuum state, Applications of functional analysis in quantum physics, asymptotic behavior, correlation function, Haag-Kastler axioms, operator: algebra, info:eu-repo/classification/ddc/510, 46L60
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