Abstract
The potential between a heavy quark and an antiquark inside the quark-gluon plasma is studied on the basis of the gauge-gravity duality. A real-time complex potential VQQ̄(t,r) is derived from the Wilson loop, which is evaluated by its gravity dual in the Euclidean five-dimensional anti-de Sitter black hole metric. To make the analytic continuation from the imaginary time to the real time, specific variational configurations of the string world sheet in the Euclidean metric are introduced. A rapid approach of V QQ̄(t,r) to its stationary value is found at the time scale t (πT)-1, and the imaginary part of VQQ̄(r) becomes significant above the length scale r=1.72(πT)-1. Also, these scales are independent of the 't Hooft coupling λ. Implications of these results to the properties of heavy quarkonia in quark-gluon plasma are briefly discussed.
| Original language | English |
|---|---|
| Article number | 101901 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 87 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2013 May 7 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality. / Hayata, Tomoya; Nawa, Kanabu; Hatsuda, Tetsuo.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 87, No. 10, 101901, 07.05.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
AU - Hayata, Tomoya
AU - Nawa, Kanabu
AU - Hatsuda, Tetsuo
PY - 2013/5/7
Y1 - 2013/5/7
N2 - The potential between a heavy quark and an antiquark inside the quark-gluon plasma is studied on the basis of the gauge-gravity duality. A real-time complex potential VQQ̄(t,r) is derived from the Wilson loop, which is evaluated by its gravity dual in the Euclidean five-dimensional anti-de Sitter black hole metric. To make the analytic continuation from the imaginary time to the real time, specific variational configurations of the string world sheet in the Euclidean metric are introduced. A rapid approach of V QQ̄(t,r) to its stationary value is found at the time scale t (πT)-1, and the imaginary part of VQQ̄(r) becomes significant above the length scale r=1.72(πT)-1. Also, these scales are independent of the 't Hooft coupling λ. Implications of these results to the properties of heavy quarkonia in quark-gluon plasma are briefly discussed.
AB - The potential between a heavy quark and an antiquark inside the quark-gluon plasma is studied on the basis of the gauge-gravity duality. A real-time complex potential VQQ̄(t,r) is derived from the Wilson loop, which is evaluated by its gravity dual in the Euclidean five-dimensional anti-de Sitter black hole metric. To make the analytic continuation from the imaginary time to the real time, specific variational configurations of the string world sheet in the Euclidean metric are introduced. A rapid approach of V QQ̄(t,r) to its stationary value is found at the time scale t (πT)-1, and the imaginary part of VQQ̄(r) becomes significant above the length scale r=1.72(πT)-1. Also, these scales are independent of the 't Hooft coupling λ. Implications of these results to the properties of heavy quarkonia in quark-gluon plasma are briefly discussed.
UR - http://www.scopus.com/inward/record.url?scp=84877948351&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84877948351&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.87.101901
DO - 10.1103/PhysRevD.87.101901
M3 - Article
AN - SCOPUS:84877948351
VL - 87
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
M1 - 101901
ER -