$\u2112^2$曲率平方修正对朗之万扩散系数的影响
$\mathcal{R}^2$ curvature-squared corrections on Langevin diffusion coefficients
AI总结：
本文研究Super Yang-Mills等离子体中曲率平方修正对运动重夸克朗之万扩散系数的影响，对比了$\u2115$=4情形的结果，发现修正依赖夸克速度与高阶导数形式，并计算了Gauss-Bonnet背景下的系数。
摘要：
本文研究了有限耦合修正对Super Yang-Mills等离子体中运动重夸克的朗之万（Langevin）扩散系数的影响，这类修正对应引力部分的曲率平方修正。我们将纵向与横向朗之万扩散系数的计算结果与$\u2115$=4 Super Yang-Mills等离子体中的结果进行了对比。研究发现，曲率平方修正会影响朗之万扩散系数，且两类扩散系数的修正程度均依赖于运动重夸克的速度以及高阶导数修正的具体形式。此外，我们还计算了Gauss-Bonnet背景下运动重夸克的朗之万扩散系数。
英文摘要：
The effect of finite coupling corrections to the Langevin diffusion coefficients on a moving heavy quark in the Super Yang-Mills plasma is investigated. These corrections are related to curvature squared corrections in the corresponding gravity sector. We compare the results of both longitudinal and perpendicular Langevin diffusion coefficients with those in $\mathcal{N}$=4 Super Yang-Mills plasma. It is observed that the curvature-squared corrections influence the Langevin diffusion coefficients, and the corrections for both Langevin diffusion coefficients demonstrate the dependence on the velocity of the moving heavy quark and the specifics of the higher derivative correction. In addition, we conduct calculations for the Langevin diffusion coefficients of a moving heavy quark within the Gauss-Bonnet background.
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