Analytic states in quantum field theory on curved spacetimes

Understand

We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes.

• In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh-Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition.
• The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region, that is obtained by deforming the boundary of the tube in a timelike manner.
• This generalizes theorems by Borchers and Araki to curved spacetimes.