### Abstract

To find the origin of chaos near the black hole horizon in string-theoretic AdS/CFT correspondence, we perform a chaos analysis of a suspended string in AdS black hole backgrounds. It has a definite CFT interpretation: chaos of Wilson loops or, in other words, sensitive time evolution of a quark-antiquark force in thermal gauge theories. Our nonlinear numerical simulation of the suspended Nambu-Goto string shows chaos, which would be absent in a pure AdS background. The calculated Lyapunov exponent λ satisfies the universal bound λ≤2πTH for the Hawking temperature TH. We also analyze a toy model of a rectangular string probing the horizon and show that it contains a universal saddle characterized by the surface gravity 2πTH. Our work demonstrates that the black hole horizon is the origin of the chaos, and suggests a close interplay between chaos and quark deconfinement.

Original language | English |
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Article number | 086007 |

Journal | Physical Review D |

Volume | 98 |

Issue number | 8 |

DOIs | |

Publication status | Published - Oct 15 2018 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*98*(8), [086007]. https://doi.org/10.1103/PhysRevD.98.086007

**Chaos of Wilson loop from string motion near black hole horizon.** / Hashimoto, Koji; Murata, Keiju; Tanahashi, Norihiro.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 98, no. 8, 086007. https://doi.org/10.1103/PhysRevD.98.086007

}

TY - JOUR

T1 - Chaos of Wilson loop from string motion near black hole horizon

AU - Hashimoto, Koji

AU - Murata, Keiju

AU - Tanahashi, Norihiro

PY - 2018/10/15

Y1 - 2018/10/15

N2 - To find the origin of chaos near the black hole horizon in string-theoretic AdS/CFT correspondence, we perform a chaos analysis of a suspended string in AdS black hole backgrounds. It has a definite CFT interpretation: chaos of Wilson loops or, in other words, sensitive time evolution of a quark-antiquark force in thermal gauge theories. Our nonlinear numerical simulation of the suspended Nambu-Goto string shows chaos, which would be absent in a pure AdS background. The calculated Lyapunov exponent λ satisfies the universal bound λ≤2πTH for the Hawking temperature TH. We also analyze a toy model of a rectangular string probing the horizon and show that it contains a universal saddle characterized by the surface gravity 2πTH. Our work demonstrates that the black hole horizon is the origin of the chaos, and suggests a close interplay between chaos and quark deconfinement.

AB - To find the origin of chaos near the black hole horizon in string-theoretic AdS/CFT correspondence, we perform a chaos analysis of a suspended string in AdS black hole backgrounds. It has a definite CFT interpretation: chaos of Wilson loops or, in other words, sensitive time evolution of a quark-antiquark force in thermal gauge theories. Our nonlinear numerical simulation of the suspended Nambu-Goto string shows chaos, which would be absent in a pure AdS background. The calculated Lyapunov exponent λ satisfies the universal bound λ≤2πTH for the Hawking temperature TH. We also analyze a toy model of a rectangular string probing the horizon and show that it contains a universal saddle characterized by the surface gravity 2πTH. Our work demonstrates that the black hole horizon is the origin of the chaos, and suggests a close interplay between chaos and quark deconfinement.

UR - http://www.scopus.com/inward/record.url?scp=85056177570&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85056177570&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.98.086007

DO - 10.1103/PhysRevD.98.086007

M3 - Article

AN - SCOPUS:85056177570

VL - 98

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 8

M1 - 086007

ER -