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.
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 -