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The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes

Alexander Strohmaier

Published 2000-02-28, updated 2000-05-20Version 2

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.

Comments: Latex2e, 22 pages, typos corrected, an error in proposition 3.1 corrected, results remain uneffected
Journal: Commun.Math.Phys. 215 (2000) 105-118
Categories: math-ph, gr-qc, hep-th, math.MP
Subjects: 81T05, 81T20, 35J15, 35L10
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