### 抜粋

We demonstrate that a holographic model of the Einstein-Podolsky-Rosen pair exhibits fast scrambling. Strongly entangled quark and antiquark in N = 4 super Yang-Mills theory are considered. Their gravity dual is a fundamental string whose endpoints are uniformly accelerated in opposite direction. We slightly increase the acceleration of the endpoint and show that it quickly destroys the correlation between the quark and antiquark. The proper time scale of the destruction is τ_{∗} ∼ β ln S where β is the inverse Unruh temperature and S is the entropy of the accelerating quark. We also evaluate the Lyapunov exponent from correlation function as λ_{L} = 2π/β, which saturates the Lyapunov bound. Our results suggest that the fast scrambling or saturation of the Lyapunov bound do not directly imply the existence of an Einstein dual. When we slightly decrease the acceleration, the quark and antiquark are causally connected and an "one-way traversable wormhole" is created on the worldsheet. It causes the divergence of the correlation function between the quark and antiquark.

元の言語 | English |
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記事番号 | 49 |

ジャーナル | Journal of High Energy Physics |

巻 | 2017 |

発行部数 | 11 |

DOI | |

出版物ステータス | Published - 2017 11 1 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## フィンガープリント Fast scrambling in holographic Einstein-Podolsky-Rosen pair' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Journal of High Energy Physics*,

*2017*(11), [49]. https://doi.org/10.1007/JHEP11(2017)049