Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory Article Swipe
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Daniel A. Roberts
,
Douglas Stanford
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.115.131603
· OA: W1603380880
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.115.131603
· OA: W1603380880
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_{*}-(β/2π)logβ^{2}E_{w}E_{v}, where t_{*} is the fast scrambling time (β/2π)logc and E_{w},E_{v} are the energy scales of the W,V operators.
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