论文标题

确定仅来自线性代数的输入的Feynman积分

Determining Feynman integrals with only input from linear algebra

论文作者

Liu, Zhi-Feng, Ma, Yan-Qing

论文摘要

我们发现,一旦提供了FIS之间的线性关系,就可以完全确定所有具有任何数量循环的Feynman积分(FIS)。因此,FIS计算在概念上更改为线性代数问题。最多提供5个循环以验证这一观察结果。作为副产品,我们获得了一种强大的方法来计算量子场理论中的扰动校正。

We find that all Feynman integrals (FIs), having any number of loops, can be completely determined once linear relations between FIs are provided. Therefore, FIs computation is conceptually changed to a linear algebraic problem. Examples up to 5 loops are given to verify this observation. As a byproduct, we get a powerful method to calculate perturbative corrections in quantum field theory.

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