# On the Reeh-Schlieder Property in Curved Spacetime

January 30, 2008

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.

open access link
Commun.Math.Phys.288:271-285,2009

@article{Sanders:2008gs,
author = "Sanders, Ko",
title = "{On the Reeh-Schlieder Property in Curved Spacetime}",
journal = "Commun. Math. Phys.",
volume = "288",
year = "2009",
pages = "271-285",
doi = "10.1007/s00220-009-0734-3",
eprint = "0801.4676",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:0801.4676;%%"
}

Keywords:

QFT on curved spacetimes, states of physical interest