AI 中文总结
研究 QCD 耦合跑动对 JIMWLK 演化中反共线重整化的影响，确定耦合标度选择并推导相关核，发现耦合跑动减缓 BFKL 演化，γ = 1 时广义特征函数值不受影响，开发近似方法得出反共线区域坡密子截距因二者降低。
AI 中文摘要
我们研究了 QCD 耦合跑动对线性（BFKL）区域中 JIMWLK 演化里反共线重整化的影响。确定了进入 JIMWLK 核的耦合的合适标度选择，推导了包含在重整化方程（即 DGLAP）和 JIMWLK 核本身中跑动耦合效应的反共线重整化 BFKL 核。发现耦合跑动通常会进一步减缓 BFKL 演化。令人惊讶的是，由于微妙的抵消，γ = 1 时广义特征函数的值不受跑动耦合影响。开发了一种近似方法来用广义特征函数研究 BFKL 格林函数。在此近似下发现，反共线区域中的坡密子截距因重整化和耦合跑动而显著降低。
英文摘要
We study the effects of the running of the QCD coupling on the anti-collinear resummation in JIMWLK evolution in the linear (BFKL) regime. We determine the appropriate scale choice for the coupling entering the JIMWLK kernel, and derive the anti-collinearly resummed BFKL kernel, which includes running-coupling effects both in the resummation equation (i.e. DGLAP) and in the JIMWLK kernel proper. We find that the running of the coupling generally further slows down BFKL evolution, as expected. Surprisingly however the value of the generalized characteristic function at $γ=1$ is unaffected by the running coupling owing to subtle cancellations. We develop an approximation that allows us to use the generalized characteristic function to study the BFKL Green's function. Within this approximation we find that the Pomeron intercept in the anti-collinear regime is significantly reduced by both, the resummation and the running of the coupling.
Comments46 pages, 3 figures
