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arXiv · 1410.3215

The global rotating scalar field vacuum on anti-de Sitter space-time

Carl Kent·Elizabeth Winstanley
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Abstract

We consider the definition of the global vacuum state of a quantum scalar field on $n$-dimensional anti-de Sitter space-time as seen by an observer rotating about the polar axis. Since positive (or negative) frequency scalar field modes must have positive (or negative) Klein-Gordon norm respectively, we find that the only sensible choice of positive frequency corresponds to positive frequency as seen by a static observer. This means that the global rotating vacuum is identical to the global nonrotating vacuum. For $n\ge 4$, if the angular velocity of the rotating observer is smaller than the inverse of the anti-de Sitter radius of curvature, then modes with positive Klein-Gordon norm also have positive frequency as seen by the rotating observer.We comment on the implications of this result for the construction of global rotating thermal states.

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Carl Kent, Elizabeth Winstanley. 2014-10-13. The global rotating scalar field vacuum on anti-de Sitter space-time. https://doi.org/10.1016/j.physletb.2014.11.047

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