Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
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DOI：
10.1103/physrevd.87.101901
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发表时间：
2012-11
影响因子：
5
通讯作者：
Tomoya Hayata;K. Nawa;T. Hatsuda
中科院分区：
文献类型：
--
作者：
Tomoya Hayata;K. Nawa;T. Hatsuda
基于量规-重力二象性研究了夸克-胶子等离子体中重夸克和反夸克之间的势。一个实时复势${V}_{Q\overline{Q}}(t,r)$是从威尔逊环推导出来的，它是由欧几里得五维反德西特黑洞度量中的重力对偶来评估的。为了使解析延拓从虚时间到实时间，引入了欧氏度规中弦世界表的特定变分构型。在时间尺度$t\ensuremath{\simeq}(\ensuremath{\pi}T{)}^{\ensuremath{-}1}$上，发现了${V}_{Q\overline{Q}}(t,r)$对其平稳值的快速逼近，在长度尺度$r=1.72(\ensuremath{\pi}T{)}^{\ensuremath{-}1}$上，${V}_{Q\overline{Q}}(\ensuremath{\infty},r)$的虚部变得显著。此外，这些尺度是独立的't Hooft联轴器$\ensuremath{\lambda}$。简要讨论了这些结果对夸克-胶子等离子体中重夸子性质的影响。
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 ${V}_{Q\overline{Q}}(t,r)$ 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 ${V}_{Q\overline{Q}}(t,r)$ to its stationary value is found at the time scale $t\ensuremath{\simeq}(\ensuremath{\pi}T{)}^{\ensuremath{-}1}$, and the imaginary part of ${V}_{Q\overline{Q}}(\ensuremath{\infty},r)$ becomes significant above the length scale $r=1.72(\ensuremath{\pi}T{)}^{\ensuremath{-}1}$. Also, these scales are independent of the 't Hooft coupling $\ensuremath{\lambda}$. Implications of these results to the properties of heavy quarkonia in quark-gluon plasma are briefly discussed.