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 language | English |
|---|---|
| Article number | 086007 |
| Journal | Physical Review D |
| Volume | 98 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Oct 15 2018 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cite this
Chaos of Wilson loop from string motion near black hole horizon. / Hashimoto, Koji; Murata, Keiju; Tanahashi, Norihiro.
In: Physical Review D, Vol. 98, No. 8, 086007, 15.10.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Chaos of Wilson loop from string motion near black hole horizon
AU - Hashimoto, Koji
AU - Murata, Keiju
AU - Tanahashi, Norihiro
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 -