Dynamical AdS strings across horizons

Ishii, Takaaki; Murata, Keiju

doi:10.1007/jhep03(2016)035

Cited by 8 publications

(14 citation statements)

References 67 publications

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“…As explained there, we parameterize the perturbation of a static string using the proper distance along the normal vector of the string trajectory defined by Eqs. (23), (24) and Fig. 3.…”

Section: Appendix B: Derivation Of Effective Actionmentioning

confidence: 93%

“…For this purpose we employ the numerical method to study dynamical string in AdS developed in Refs. [23,24]. To induce the nonlinear dynamics of the string, we "quench" the position of the string endpoints on the AdS boundary.…”

Section: Chaos Of Nonlinear Dynamics Of Stringmentioning

confidence: 99%

“…In Refs. [23,24], dynamics of Nambu-Goto string in pure AdS background has been studied. For pure AdS, there was no sensitivity to initial conditions although the energy cascade in the string worldsheet was observed.…”

Section: Introductionmentioning

confidence: 99%

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Chaos of Wilson loop from string motion near black hole horizon

2018

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To find the origin of chaos near 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 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.

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“…As explained there, we parameterize the perturbation of a static string using the proper distance along the normal vector of the string trajectory defined by Eqs. (23), (24) and Fig. 3.…”

Section: Appendix B: Derivation Of Effective Actionmentioning

confidence: 93%

Section: Chaos Of Nonlinear Dynamics Of Stringmentioning

confidence: 99%

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Chaos of Wilson loop from string motion near black hole horizon

2018

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“…In this section, we explore the full dynamical motion of string by numerical simulation to examine the chaotic motion. For this purpose, we employ the numerical techniques to study dynamical string developed in [27,28]. The detail of numerical calculations are summarized in appendix A.…”

Section: Chaos Of Interquark Forcementioning

confidence: 99%

“…We impose the Dirichlet conditions for X 1 as in Eqs. (28) and (29). To determine the boundary value of T , we consider points P, Q, and R in Fig.12.…”

Section: Time Evolutionmentioning

confidence: 99%

Chaos of QCD string from holography

et al. 2019

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It is challenging to quantify chaos of QCD, because non-perturbative QCD accompanies non-local observables. By using holography, we find that QCD strings at large Nc and strong coupling limit exhibit chaos, and measure their Lyapunov exponent at zero temperature. A pair of a quark and an antiquark separated by Lq in the large Nc QCD is dual to a Nambu-Goto string hanging from the spatial boundary of the D4-soliton geometry. We numerically solve the motion of the string after putting a pulse force on its boundaries. The chaos is observed for the amplitude of the force larger than a certain lower bound. The bound increases as Lq grows, and its dependence is well approximated by a hypothesis that the chaos originates in the endpoints of the QCD string.

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Boundary driven turbulence on string worldsheet

Ishii,

Murata,

Yoshida

2024

J. High Energ. Phys.

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We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.

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Dynamical AdS strings across horizons

Cited by 8 publications

References 67 publications

Chaos of Wilson loop from string motion near black hole horizon

Chaos of Wilson loop from string motion near black hole horizon

Chaos of QCD string from holography

Boundary driven turbulence on string worldsheet

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