QCD介质中横向动量展宽的量子修正的普适性
Universality aspects of quantum corrections to transverse momentum broadening in QCD media
摘要：
在领先对数近似下，研究了快部分子在稠密QCD物质中传播时横动量展宽的非线性量子修正。这些非局部修正产生了一个异常的超扩散行为，其特征在于与Lévy随机游动相关的重尾分布。使用正式的类比物理的行波，我们表明，在后期的横向动量分布趋于一个普遍的标度制度。我们推导出解析解的渐近展开的缩放限制固定和运行耦合。我们注意到，我们的分析方法产生了很好的协议与精确的数值解到中等长度的现实值。最后，我们讨论了系统的大小和能量之间的相互作用的扩散系数$\hat q$和它的连接与胶子分布函数，这是明显的大横向动量转移。
英文摘要：
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.
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