Universal Charge Diffusion and the Butterfly Effect in Holographic Theories.
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Peer-reviewed
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Authors
Blake, Mike
Abstract
We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by D_{c}=Cv_{B}^{2}/(2πT), where v_{B} is the velocity of the butterfly effect. The constant of proportionality C depends only on the scaling exponents of the infrared theory. Our results suggest an unexpected connection between transport at strong coupling and quantum chaos.
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Keywords
0101 Pure Mathematics
Journal Title
Phys Rev Lett
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Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
117
Publisher
American Physical Society (APS)
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Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
European Research Council (279943)
European Research Council (279943)
I am funded through a Junior Research Fellowship from Churchill College, University of Cambridge. This work was supported in part by the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013), ERC Grant Agreement STG 279943, Strongly Coupled Systems.