We study finite-coupling corrections on the screening length of a heavy quark-antiquark () pair moving in strongly coupled Super Yang-Mills plasma. We performed the analysis by computing the Wilson loop in a general space with curvature-squared () corrections and the Gauss-Bonnet (GB) background, respectively. For the general case, it is shown that the screening length with corrections can be larger or smaller than that without corrections depending on the correction coefficients, and these effects are more pronounced for the perpendicular case compared with parallel case. For the GB case, it turns out that increasing (a dimensionless parameter in GB gravity) leads to decreasing the screening length thus reducing the binding energy of pair. In addition, we discuss how the screening length changes with the ratio of shear viscosity to entropy density at strong coupling under GB corrections.

中文翻译：

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筛选长度的 R2 修正


我们研究了在强耦合超杨米尔斯等离子体中移动的重夸克-反夸克对的筛选长度的有限耦合修正。我们通过分别在具有曲率平方 () 校正的一般空间和高斯-邦内特 (GB) 背景下计算威尔逊环来进行分析。对于一般情况，根据校正系数，校正后的加网长度可以大于或小于未校正的加网长度，并且与平行情况相比，垂直情况下这些效果更为明显。对于 GB 情况，事实证明，增加（GB 重力中的无量纲参数）会导致筛选长度减小，从而降低对的结合能。此外，我们还讨论了在 GB 校正下强耦合下筛选长度如何随剪切粘度与熵密度之比的变化。