On the Reeh-Schlieder Property in Curved Spacetime

Details On the Reeh-Schlieder Property in Curved Spacetime On the Reeh-Schlieder Property in Curved Spacetime

2008-01-30

arxiv.org/abs/0801.4676v1

Commun.Math.Phys.288:271-285,2009

Physics

Mathematical Physics

13 pages, 2 figures

Scientific paper

10.1007/s00220-009-0734-3

We attempt to prove the existence of Reeh-Schlieder states on curved spacetimes in the framework of locally covariant quantum field theory using the idea of spacetime deformation and assuming the existence of a Reeh-Schlieder state on a diffeomorphic (but not isometric) spacetime. We find that physically interesting states with a weak form of the Reeh-Schlieder property always exist and indicate their usefulness. Algebraic states satisfying the full Reeh-Schlieder property also exist, but are not guaranteed to be of physical interest.

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