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Holographic thermalization
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2011 (English)In: Physical Review D, ISSN 1550-7998, Vol. 84, no 2, 026010- p.Article in journal (Refereed) Published
Abstract [en]

Using the AdS/CFT correspondence, we probe the scale dependence of thermalization in strongly coupled field theories following a sudden injection of energy via calculations of two-point functions, Wilson loops, and entanglement entropy in d = 2, 3, 4. In the saddle-point approximation these probes are computed in AdS space in terms of invariant geometric objects-geodesics, minimal surfaces, and minimal volumes. Our calculations for two-dimensional field theories are analytical. In our strongly coupled setting, all probes in all dimensions share certain universal features in their thermalization: (1) a slight delay in the onset of thermalization, (2) an apparent nonanalyticity at the endpoint of thermalization, (3) top-down thermalization where the UV thermalizes first. For homogeneous initial conditions the entanglement entropy thermalizes slowest and sets a timescale for equilibration that saturates a causality bound over the range of scales studied. The growth rate of entanglement entropy density is nearly volume-independent for small volumes, but slows for larger volumes.

Place, publisher, year, edition, pages
2011. Vol. 84, no 2, 026010- p.
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-157258DOI: 10.1103/PhysRevD.84.026010ISI: 000293130800006OAI: oai:DiVA.org:uu-157258DiVA: diva2:436013
Available from: 2011-08-22 Created: 2011-08-22 Last updated: 2011-08-22Bibliographically approved

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