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.
Publié le : 2000-02-28
Classification:
Mathematical Physics,
General Relativity and Quantum Cosmology,
High Energy Physics - Theory,
81T05,
81T20,
35J15,
35L10
@article{0002054,
author = {Strohmaier, Alexander},
title = {The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0002054}
}
Strohmaier, Alexander. The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002054/