Passive States for Essential Observers
Abstract
The aim of this note is to present a unified approach to the results given in bb99 and bs04 which also covers examples of models not presented in these two papers (e.g. d-dimensional Minkowski space-time for d≥ 3). Assuming that a state is passive for an observer travelling along certain (essential) worldlines, we show that this state is invariant under the isometry group, is a KMS-state for the observer at a temperature uniquely determined by the structure constants of the Lie algebra involved and fulfills (a variant of) the Reeh-Schlieder property. Also the modular objects associated to such a state and the observable algebra of an observer are computed and a version of weak locality is examined.
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