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Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory

Author(s)
Stanford, Douglas; Roberts, Daniel Adam
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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.
Date issued
2015-09
URI
http://hdl.handle.net/1721.1/98897
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
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
ISSN
0031-9007
1079-7114

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