标题： CSS哈密顿量：快速度相关可观测量的高能演化 显示英文标题

标题： The CSS Hamiltonian: high energy evolution of rapidity dependent observables

摘要： 我们考虑依赖于纵向动量分数的较小但固定值$x$的可观测量在高快速度下的演化，使得$\eta>\ln 1/x$。 我们证明这种演化不是由 JIMWLK（或 BK）方程给出的。 我们推导出演化哈密顿量 -$H_{CSS-JIMWLK}$，它在稀疏和密集的入射波函数情况下生成这种演化。 两种极限对于$H_{CSS-JIMWLK}$得到相同的结果。 我们证明胶子 TMD 的结果演化与固定且非常大的横向分辨率下的纵向分辨率参数的（双对数）微扰 Collins-Soper-Sterman 演化方程相同。 显示英文摘要

摘要： We consider evolution of observables which depend on a small but fixed value of longitudinal momentum fraction $x$, to high rapidity, such that $\eta>\ln 1/x$. We show that this evolution is not given by the JIMWLK (or BK) equation. We derive the evolution Hamiltonian - $H_{CSS-JIMWLK}$ which generates this evolution in the cases of dilute and dense projectile wave function. The two limits yield identical results for $H_{CSS-JIMWLK}$. We show that the resulting evolution for the gluon TMD is identical to the (double logarithmic) perturbative Collins-Soper-Sterman evolution equation in the longitudinal resolution parameter at a fixed and very large transverse resolution.