Chaos of Wilson loop from string motion near black hole horizon

Koji Hashimoto, Keiju Murata, Norihiro Tanahashi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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 languageEnglish
Article number086007
JournalPhysical Review D
Volume98
Issue number8
DOIs
Publication statusPublished - Oct 15 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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