Punctured Haag duality in locally covariant quantum field theories

Details Punctured Haag duality in locally covariant quantum field theories Punctured Haag duality in locally covariant quantum field theories

2004-02-10

arxiv.org/abs/math-ph/0402027v4

Commun. Math. Phys. 256 (2005) no. 3, 621-634.

Physics

Mathematical Physics

Accepted for publication in Commun. Math. Phys

Scientific paper

10.1007/s00220-005-1310-0

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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