Journal
PHYSICAL REVIEW D
Volume 84, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.026010
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Funding
- Belgian Federal Science Policy Office
- FWO-Vlaanderen [G011410N]
- Foundation of Fundamental Research on Matter (FOM)
- DOE [DE-FG02-05ER-41367]
- BMBF
- Academy of Finland [1127482]
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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.
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