Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
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PhysRevLett.115.131603.pdf
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166.4 KB
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Author(s)
Stanford, Douglas
Roberts, Daniel Adam
Date Issued
September 2015
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Roberts, Daniel A., and Douglas Stanford. "Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory." Phys. Rev. Lett. 115, 131603 (September 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We study chaotic dynamics in two-dimensional conformal field theory through out-of-time-order thermal correlators of the form ⟨W(t)VW(t)V⟩. We reproduce holographic calculations similar to those of Shenker and Stanford, by studying the large c Virasoro identity conformal block. The contribution of this block to the above correlation function begins to decrease exponentially after a delay of ~t[subscript *] - (β/2π)logβ[superscript 2]E[subscript w]E[subscript v], where t[subscript *] is the fast scrambling time (β/2π)logc and E[subscript w],E[subscript v] are the energy scales of the W,V operators.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.115.131603
