Influence of inhomogeneities on holographic mutual information and butterfly effect

A bstract We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the...

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Bibliographic Details
Published in:The journal of high energy physics 2017-07, Vol.2017 (7), p.1-20, Article 82
Main Authors: Cai, Rong-Gen, Zeng, Xiao-Xiong, Zhang, Hai-Qing
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black Holes
Chaos theory
Classical and Quantum Gravitation
Classical Theories of Gravity
Communication channels
Elementary Particles
Field theory
Gravitation
High energy physics
Inhomogeneity
Lattice theory
Mean square errors
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Thermal Field Theory
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Summary:A bstract We study the effect of inhomogeneity, which is induced by the graviton mass in massive gravity, on the mutual information and the chaotic behavior of a 2+1-dimensional field theory from the gauge/gravity duality. When the system is near-homogeneous, the mutual information increases as the graviton mass grows. However, when the system is far from homogeneity, the mutual information decreases as the graviton mass increases. By adding the perturbations of energy into the system, we investigate the dynamical mutual information in the shock wave geometry. We find that the greater perturbations disrupt the mutual information more rapidly, which resembles the butterfly effect in chaos theory. Besides, the greater inhomogeneity reduces the dynamical mutual information more quickly just as in the static case.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2017)082