The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes
Alexander Strohmaier
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.
Create a lesson
Related papers
Unifying spherical convolutions through lifting
J. D. McEwen
Perturbed isotropic oscillators with inversion symmetry
Antonella Marchesiello, Rita Mastroianni, Giuseppe Pucacco
Critical Ising model as the M(4,3) minimal model of conformal field theory
Dmitry Chelkak, Konstantin Izyurov, Kalle Kytölä
A Sklar-Type Decomposition for Positive Binary Distributions and a Gibbs Interpretation
Yi-Yu Lin
Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
Carla Rubiliani, Marius Wesle, Tom Wessel
An elementary approach to the Szegő theorems
Israel Klich, Ravisankar Rajagopal