The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes

Details The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes

2000-02-28

arxiv.org/abs/math-ph/0002054v2

Commun.Math.Phys. 215 (2000) 105-118

Physics

Mathematical Physics

Latex2e, 22 pages, typos corrected, an error in proposition 3.1 corrected, results remain uneffected

Scientific paper

10.1007/s002200000299

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.

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