{ "id": "0801.4676", "version": "v1", "published": "2008-01-30T14:01:50.000Z", "updated": "2008-01-30T14:01:50.000Z", "title": "On the Reeh-Schlieder Property in Curved Spacetime", "authors": [ "Ko Sanders" ], "comment": "13 pages, 2 figures", "journal": "Commun.Math.Phys.288:271-285,2009", "doi": "10.1007/s00220-009-0734-3", "categories": [ "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-01-30T14:01:50.000Z" } ], "analyses": { "keywords": [ "curved spacetime", "reeh-schlieder state", "locally covariant quantum field theory", "full reeh-schlieder property", "weak form" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Communications in Mathematical Physics", "year": 2009, "month": "May", "volume": 288, "number": 1, "pages": 271 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 778486, "adsabs": "2009CMaPh.288..271S" } } }