局部协变量子场论中的Hag对偶
Punctured Haag duality in locally covariant quantum field theories
摘要：
研究了四维整体双曲时空上局部代数网的一个新性质，称为穿孔Haag对偶。这个性质包含在通常的哈格对偶中，把网限制在时空的一个点$p$的因果补上。删截Haag对偶蕴含Haag对偶和局部确定性。我们的主要结果是，如果该理论是局部协变的意义上的Brunetti，Fredenande和Verch，然后也反过来持有。自由Klein-Gordon场提供了验证该性质的示例。
英文摘要：
We investigate a new property of nets of local algebras over 4-dimensional globally hyperbolic spacetimes, called punctured Haag duality. This property consists in the usual Haag duality for the restriction of the net to the causal complement of a point $p$ of the spacetime. Punctured Haag duality implies Haag duality and local definiteness. Our main result is that, if the theory is locally covariant in the sense of Brunetti, Fredenhagen and Verch, then also the converse holds. The free Klein-Gordon field provides an example in which this property is verified.
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