Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-08-11
Class.Quant.Grav. 22 (2005) 1425-1432
Physics
High Energy Physics
High Energy Physics - Theory
9 pages
Scientific paper
10.1088/0264-9381/22/7/014
In general, black-hole perturbations are governed by a discrete spectrum of complex eigen-frequencies (quasi-normal modes). This signals the breakdown of unitarity. In asymptotically AdS spaces, this is puzzling because the corresponding CFT is unitary. To address this issue in three dimensions, we replace the BTZ black hole by a wormhole, following a suggestion by Solodukhin [hep-th/0406130]. We solve the wave equation for a massive scalar field and find an equation for the poles of the propagator. This equation yields a rich spectrum of {\em real} eigen-frequencies. We show that the throat of the wormhole is $o(e^{-1/G})$, where $G$ is Newton's constant. Thus, the quantum effects which might produce the wormhole are non-perturbative.
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