99-192 Detlev Buchholz, Martin Florig, Stephen J. Summers
Hawking-Unruh Temperature and Einstein Causality in Anti-de Sitter Space-Time (25K, Latex) May 25, 99
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Abstract. If the vacuum is passive for uniformly accelerated observers in anti-de Sitter space-time ({\em i.e.} cannot be used by them to operate a {\em perpetuum mobile}), they will (a) register a unique value of the Hawking--Unruh temperature and (b) find that products of observables which are localized in complementary wedge--shaped regions necessarily commute with each other in the vacuum state. Thus the stability properties of the vacuum induce a geodesic causal structure'' on this space-time which seems incompatible with true interaction.

Files: 99-192.tex