论文标题
通过功能还原方法计算四光子振幅的一环积分
Calculation of one-loop integrals for four-photon amplitudes by functional reduction method
论文作者
论文摘要
作者提出的Feynman积分功能降低的方法用于计算与具有四个外部线的图相对应的一环积分。考虑了从光散射光的振幅的积分,外部场和德尔布鲁克散射中的光子分裂。对于$ d $ - 尺寸的主积分,新的分析结果 提出。对于$ d = 4 $,这些积分由紧凑型表达式在对数和差异方面给出。
The method for functional reduction of Feynman integrals, proposed by the author, is used to calculate one-loop integrals corresponding to diagrams with four external lines. The integrals that emerge from amplitudes for the scattering of light by light, the photon splitting in an external field and Delbrück scattering are considered. For master integrals in $d$ - dimensions, new analytic results are presented. For $d=4$, these integrals are given by compact expressions in terms of logarithms and dilogarithms.