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arXiv · 1803.06756

Chaos of Wilson Loop from String Motion near Black Hole Horizon

Koji Hashimoto·Keiju Murata·Norihiro Tanahashi
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Abstract

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 $λ\leq 2πT_{\rm H}$ for the Hawking temperature $T_{\rm H}$. 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 $2πT_{\rm H}$. 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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Koji Hashimoto, Keiju Murata, Norihiro Tanahashi. 2018-03-18. Chaos of Wilson Loop from String Motion near Black Hole Horizon. https://doi.org/10.1103/physrevd.98.086007

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