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

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Roberts, Daniel A., Stanford, Douglas·2015·Physical Review Letters

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 $\ensuremath{\sim}{t}_{*}\ensuremath{-}(\ensuremath{\beta}/2\ensuremath{\pi})\mathrm{log}{\ensuremath{\beta}}^{2}{E}_{w}{E}_{v}$, where ${t}_{*}$ is the fast scrambling time $(\ensuremath{\beta}/2\ensuremath{\pi})\mathrm{log}c$ and ${E}_{w},{E}_{v}$ are the energy scales of the $W,V$ operators.

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Metadata

Authors
Roberts, D. A., & Stanford, D.
Venue
Physical Review Letters
Published
2015-09-22
Volume
115
Issue
13
Pages
131603-131603
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W1603380880
Cited by
467
References
8
FWCI
22.46
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory. https://app.cochat.ai/papers/10.1103/physrevlett.115.131603
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Roberts, D. A., & Stanford, D. (2015). Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory. Physical Review Letters. https://doi.org/10.1103/physrevlett.115.131603

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