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arXiv · 1101.5505

A moving mirror in AdS space as a toy model for holographic thermalization

Johanna Erdmenger·Shu Lin·Thanh Hai Ngo
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Abstract

It is expected that thermalization may be described within gauge/gravity duality by considering time-dependent configurations on the gravity side of the correspondence, for instance a gravitational collapse of a matter configuration in Anti-de Sitter space. As a step towards the ambitious goal of describing such a configuration, we investigate a simple time-dependent toy model in which a mirror moves in the radial direction of Anti-de Sitter space. For this configuration, we establish a procedure for calculating two-point functions of scalar fluctuations, based on a WKB approximation. We test our method on two sample trajectories for the mirror, and find that the singularity structure of the two-point functions is in agreement with geometric optics.

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Johanna Erdmenger, Shu Lin, Thanh Hai Ngo. 2011-04-17. A moving mirror in AdS space as a toy model for holographic thermalization. https://doi.org/10.1007/jhep04(2011)035

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