The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes
Mathematical Physics
2009-10-31 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.math-ph/0002054,
title = {The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes},
author = {Alexander Strohmaier},
journal= {arXiv preprint arXiv:math-ph/0002054},
year = {2009}
}
Comments
Latex2e, 22 pages, typos corrected, an error in proposition 3.1 corrected, results remain uneffected