标题： 第二阶修正到硬 Pomeron 和运行耦合常数 显示英文标题

标题： On the 2nd Order Corrections to the Hard Pomeron and the Running Coupling Constant

摘要： 显示对于复数角动量$j$的任意大的实数值，二阶 BFKL 特征值方程的解存在。 这对应于复数$j$平面上整个实轴上的割线，并使得在计算高能行为时使用复数角动量变量变得有些可疑。 特征函数包含作为$\exp(-1/\alpha_s b)$行为的非微扰部分，并且在领先对数 BFKL 方程中没有对应项。 其他作者发现的二阶 BFKL 绿函数的高能行为，通过排除特征函数中的这些非微扰部分得到了再现。 显示英文摘要

摘要： It is shown that solutions to the 2nd order BFKL eigenvalue equation exist for arbitrary large real values of the complex angular momentum $j$. This corresponds to a cut in the complex $j$ plane along the whole real axis, and it makes the use of the complex angular momentum variable for the calculation of the high-energy behavior somewhat questionable. The eigenfunctions contain non-perturbative pieces which behave as $\exp(-1/\alpha_s b)$ and have no counterpart in the leading-log BFKL equation. The high-energy behavior of the 2nd order BFKL Green function as found by other authors, is reproduced by excluding these non-perturbative pieces of the eigenfunctions.