TY - JOUR

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

AU - Hashimoto, Koji

AU - Murata, Keiju

AU - Tanahashi, Norihiro

N1 - Funding Information:
K. H. would like to thank T. Hatsuda, Y. Hidaka, and M. Hongo for valuable comments. The work of K. H. was supported in part by JSPS KAKENHI Grants No. JP15H03658, No. JP15K13483, and No. JP17H06462. The work of N. T. was supported in part by JSPS KAKENHI Grant No. 16H06932.

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.

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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 -