Passive States for Essential Observers

Details Passive States for Essential Observers Passive States for Essential Observers

2008-01-23

arxiv.org/abs/0801.3529v1

J.Math.Phys.49:022301,2008

Physics

Mathematical Physics

27 pages

Scientific paper

10.1063/1.2838155

The aim of this note is to present a unified approach to the results given in \cite{bb99} and \cite{bs04} which also covers examples of models not presented in these two papers (e.g. $d$-dimensional Minkowski space-time for $d\geq 3$). 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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