PRODUCT STATES FOR LOCAL ALGEBRAS

PRODUCT STATES FOR LOCAL ALGEBRAS
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DOI:
10.1007/bf01646201
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发表时间:
1974-01-01
影响因子:
2.4
通讯作者:
BUCHHOLZ, D
BUCHHOLZ, D
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
BUCHHOLZ, D

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在自由中性质量标量场的真空表示中,设^(O^ C^ J^)和&(®2)C & (jp)分别为与时空区域Qv和02相关联的von Neumann代数。对于适当选择的类空间分离区域(9^和&2),证明了对于所有的At9t (qυ和)存在正规积态φ< φ (AB)= φ (a) φ (B)
Let^(O^ C^ J^) and & (® 2) c& (JίP) be the von Neumann algebras associated with the space-time regions Qv and 02 respectively in the vacuum representation of the free neutral massive scalar field. For suitably chosen spacelike separated regions (9^ and &2 it is proved that there exists a normal product state φ< φ (AB)= φ (A) φ (B) for all At9t (Qύ and