{ "id": "math-ph/0002054", "version": "v2", "published": "2000-02-28T18:22:46.000Z", "updated": "2000-05-20T18:19:47.000Z", "title": "The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes", "authors": [ "Alexander Strohmaier" ], "comment": "Latex2e, 22 pages, typos corrected, an error in proposition 3.1 corrected, results remain uneffected", "journal": "Commun.Math.Phys. 215 (2000) 105-118", "doi": "10.1007/s002200000299", "categories": [ "math-ph", "gr-qc", "hep-th", "math.MP" ], "abstract": "We show that as soon as a linear quantum field on a stationary spacetime satisfies a certain type of hyperbolic equation, the (quasifree) ground- and KMS-states with respect to the canonical time flow have the Reeh-Schlieder property. We also obtain an analog of Borchers' timelike tube theorem. The class of fields we consider contains the Dirac field, the Klein-Gordon field and the Proca field.", "revisions": [ { "version": "v2", "updated": "2000-05-20T18:19:47.000Z" } ], "analyses": { "subjects": [ "81T05", "81T20", "35J15", "35L10" ], "keywords": [ "reeh-schlieder property", "linear quantum field", "stationary spacetime satisfies", "proca field", "klein-gordon field" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Communications in Mathematical Physics", "year": 2000, "volume": 215, "number": 1, "pages": 105 }, "note": { "typesetting": "LaTeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "inspire": 524430, "adsabs": "2000CMaPh.215..105S" } } }