Local preparability of states and the split property in quantum field theory

Local preparability of states and the split property in quantum field theory
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量子场论中状态的局部可制备性和分裂性质

DOI:
10.1007/bf00401161
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发表时间:
1987
影响因子:
1.2
通讯作者:
R. Werner
R. Werner
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
R. Werner

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推广Buchholz、Doplicher和Longo的类似结果,证明了准备给定局部状态的局部运算的存在性暗示了可观测代数局部网的分裂性,即在彼此严格包含的区域的可观测代数之间存在I型因子插值。结果表明,局部制剂如果存在,可能被认为是非选择性的。
Extending similar results of Buchholz, Doplicher, and Longo, it is shown that the existence of local operations preparing a given local state implies the split property for the local net of observable algebras, i.e., the existence of type I factors interpolating between the observable algebras of regions strictly contained in each other. It is shown that local preparations, if they exist, may be taken to be nonselective.