论文标题
超对称电动力学的计算机代数计算
Computer algebra calculations in supersymmetric electrodynamics
论文作者
论文摘要
我们提出了一种新的符号算法和一个C ++程序，用于生成和计算$ {\ cal n} = 1 $超对称电动力学的超对称Feynman图，该图在四个维度中由较高的衍生物正规化。根据标准规则，该程序生成的所有图表是根据所需顺序计算物质超级场的两点绿色功能的特定贡献所必需的，然后将答案减少到欧几里得动量积分之和的总和。目前，该程序用于计算$ {\ cal n} = 1 $超对称量子电动力学（由较高衍生物）在三环近似中正规化的异常尺寸。
We propose a new symbolic algorithm and a C++ program for generating and calculating supersymmetric Feynman diagrams for ${\cal N}=1$ supersymmetric electrodynamics regularized by higher derivatives in four dimensions. According to standard rules, the program generates all diagrams that are necessary to calculate a specific contribution to the two-point Green function of matter superfields in the needed order, and then reduces the answer to the sum of Euclidean momentum integrals. At the moment, the program was used to calculate the anomalous dimension in ${\cal N}=1$ supersymmetric quantum electrodynamics, regularized by higher derivatives, in the three-loop approximation.
