Black holes and the butterfly effect

A bstract 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...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2014; no. 3; pp. 1 - 25
Main Authors Shenker, Stephen H., Stanford, Douglas
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2014
Springer Nature B.V
Subjects
Black holes (astronomy)
Butterflies
Classical and Quantum Gravitation
Correlation
Elementary Particles
Field theory
Firewalls
High energy physics
Holography
Initial conditions
Joining
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Shock waves
String Theory
AdS-CFT Correspondence
Black Holes
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Summary:A bstract 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.
Bibliography:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2014)067