论文标题
关于扰动QCD真空奇异性的共形旋转依赖性
On the conformal spin dependence of the perturbative QCD vacuum singularity
论文作者
论文摘要
我们研究了QCD的高能量限制在其保形膨胀方面写的四光散射幅度。我们强调需要包括均匀和奇怪的保形自旋贡献，以便将其映射到我们已经通过数值评估的速度和横向动量空间中的迭代表示。通过在三个方位角的集合中扩展傅立叶，我们从$ _4F_3 $超几何函数方面找到了振幅的新形式。将这种傅立叶扩展与分析数理论研究的贝塞尔内核连接起来时，可以进行替代公式。
We study the four-gluon scattering amplitude in the high energy limit of QCD written in terms of its conformal expansion. We highlight the need to include both even and odd conformal spin contributions in order to map it to an iterative representation in rapidity and transverse momentum space which we have evaluated numerically. By Fourier expanding in a set of three azimuthal angles, we find a new form for the amplitude in terms of $_4F_3$ hypergeometric functions. An alternative formulation is possible when connecting this Fourier expansion with Bessel kernels studied in analytic number theory.
