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Butterfly velocities for holographic theories of general spacetimes [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy. High Energy Physics Division, 2017.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
Physical Description
Article numbers 187 : digital, PDF file
Additional Creators
Lawrence Berkeley National Laboratory, United States. Department of Energy. High Energy Physics Division, National Science Foundation (U.S.), and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
The butterfly velocity characterizes the spread of correlations in a quantum system. Recent work has provided a method of calculating the butterfly velocity of a class of boundary operators using holographic duality. Utilizing this and a presumed extension of the canonical holographic correspondence of AdS/CFT, we investigate the butterfly velocities of operators with bulk duals living in general spacetimes. We analyze some ubiquitous issues in calculating butterfly velocities using the bulk effective theory, and then extend the previously proposed method to include operators in entanglement shadows. Here in this paper, we explicitly compute butterfly velocities for bulk local operators in the holographic theory of flat Friedmann-Robertson-Walker spacetimes and find a universal scaling behavior for the spread of operators in the boundary theory, independent of dimension and fluid components. This result may suggest that a Lifshitz field theory with z = 4 is the appropriate holographic dual for these spacetimes.
Report Numbers
E 1.99:1421810
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Note
Published through SciTech Connect.
10/01/2017.
"ark:/13030/qt3ww0043k"
Journal of High Energy Physics (Online) 2017 10 ISSN 1029-8479 AM
Yasunori Nomura; Nico Salzetta.
Funding Information
AC02-05CH11231
15H05895
PHY-1521446
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