Journal of High Energy Physics· 2014Q2
Black holes and the butterfly effect
- 1,588citations
- Q2SCImago
- 2014year
Short summary
Black holes amplify initial perturbations, destroying local correlations in strongly coupled field theories.
AI-generated from the title and abstract; the full text is not read.
Key points
- Holography is used to study sensitive dependence on initial conditions in strongly coupled field theories.
- Mild perturbations to a thermofield double state are amplified by the black hole geometry.
- Adding quanta in the past destroys local two-sided correlations.
- The mechanism involves blueshifted infalling quanta creating a shock wave in the bulk geometry.
AI-generated from the title and abstract; the full text is not read.
Abstract
We use holography to study sensitive dependence on initial conditions in strongly coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a small number of quanta on one side. If these quanta are released a scrambling time in the past, they destroy the local two-sided correlations present in the unperturbed state. The corresponding bulk geometry is a two-sided AdS black hole, and the key effect is the blueshift of the early infalling quanta relative to the t = 0 slice, creating a shock wave. We comment on string- and Planck-scale corrections to this setup, and discuss points that may be relevant to the firewall controversy.
The authors' abstract, as published at the source. Journal of High Energy Physics, 2014 · DOI ↗
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Field: Nuclear and High Energy Physics
Nuclear and High Energy PhysicsPhysics and Astronomy