论文标题
量子校正的通用性方面，以扩大QCD媒体的横向动量扩展
Universality aspects of quantum corrections to transverse momentum broadening in QCD media
论文作者
论文摘要
我们研究了非线性量子校正，以在主要的对数近似值中繁殖的QCD物质中的快速parton的横向动量拓宽（TMB）。这些非本地校正产生了异常的超排除行为，其特征是与Lévy随机步行有关的重型尾部分布。使用与行进波物理学的形式类比，我们表明，在后期，横向动量分布趋于普遍缩放状态。我们根据固定耦合和运行耦合的缩放限制围绕缩放限制的渐近扩展来得出分析解决方案。我们注意到，我们的分析方法与确切的数值解决方案达到了中等长度的现实值，这一良好的一致性。最后，我们讨论了扩散系数$ \ hat Q $的系统大小和能量依赖性之间的相互作用，以及与在大型横向动量转移处显现的Gluon分布函数的连接。
We study non-linear quantum corrections to transverse momentum broadening (TMB) of a fast parton propagating in dense QCD matter in the leading logarithmic approximation. These non-local corrections yield an anomalous super-diffusive behavior characterized by a heavy tailed distribution which is associated with Lévy random walks. Using a formal analogy with the physics of traveling waves, we show that at late times the transverse momentum distribution tends to a universal scaling regime. We derive analytic solutions in terms of an asymptotic expansion around the scaling limit for both fixed and running coupling. We note that our analytic approach yields a good agreement with the exact numerical solutions down to realistic values of medium length. Finally, we discuss the interplay between system size and energy dependence of the diffusion coefficient $\hat q$ and its connection with the gluon distribution function that is manifest at large transverse momentum transfer.
