Wilson loops stability in the gauge/string correspondence
Wilson loops stability in the gauge/string correspondence
复制标题
威尔逊环在规格/弦对应中的稳定性
DOI：
10.1007/jhep01(2010)023
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发表时间：
2009
影响因子：
5.4
通讯作者：
G. Silva
中科院分区：
文献类型：
--
作者：
Raúl Arias;G. Silva
我们研究了在禁闭和非禁闭引力对中用于计算两个静态基夸克之间势能的一些经典弦世界表解的稳定性。我们讨论弦作用量的微分同胚不变性的确定，它与涨落方向的关系，以及在光滑(约束)引力背景中计算势能所需的夸克质量减去世界表的解释。我们考虑了各种对偶重力背景，并通过数值分析证明了具有正长度函数导数的经典弦嵌入解L‘(R0)>；0在线性涨落下的不稳定性。最后，我们对非共形背景下的t Hooft环做了简要的讨论。
We study the stability of some classical string worldsheet solutions employed for computing the potential energy between two static fundamental quarks in confining and non-confining gravity duals. We discuss the fixing of the diffeomorphism invariance of the string action, its relation with the fluctuation orientation and the interpretation of the quark mass substraction worldsheet needed for computing the potential energy in smooth (confining) gravity background. We consider various dual gravity backgrounds and show by a numerical analysis the existence of instabilities under linear fluctuations for classical string embedding solutions having positive length function derivative L′(r 0)> 0. Finally we make a brief discussion of’t Hooft loops in non-conformal backgrounds.