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A stochasticity threshold in holography and the instability of AdS

Basu, Pallab and Krishnan, Chethan and Saurabh, Ayush (2015) A stochasticity threshold in holography and the instability of AdS. In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 30 (21).

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Official URL: http://dx.doi.org/10.1142/S0217751X15501286

Abstract

We give strong numerical evidence that a self-interacting probe scalar field in AdS, with only a few modes turned on initially, will undergo fast thermalization only if it is above a certain energetic threshold. Below the threshold the energy stays close to constant in a few modes for a very long time instead of cascading quickly. This indicates the existence of a Strong Stochasticity Threshold (SST) in holography. The idea of SST is familiar from certain statistical mechanical systems, and we suggest that it exists also in AdS gravity. This would naturally reconcile the generic nonlinear instability of AdS observed by Bizon and Rostworowski, with the Fermi-Pasta-Ulam-Tsingou-like quasiperiodicity noticed recently for some classes of initial conditions. We show that our simple setup captures many of the relevant features of the full gravity-scalar system.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Keywords: Gravitational collapse in AdS/CFT; AdS instability
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 19 Aug 2015 05:41
Last Modified: 19 Aug 2015 05:41
URI: http://eprints.iisc.ac.in/id/eprint/52141

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