论文标题
Feynman图的参数表示中的分子
Numerators in Parametric Representations of Feynman Diagrams
论文作者
论文摘要
自长时间以来，已使用参数表示，用于评估Feynman图。作为一个独立的中间表示，它可以清楚地描述奇点。最近，它已成为研究Feynman图表中超越数字类型的选择工具。但是，自中尼希人的地面工作以来，分子的包含就停滞不前。我在这里通过使用道奇森身份来大大简化公式。尤其是在无质量的情况下，将完成为真空图的完成量可以很大的降低分母中Symanzik多项式的最大功率。
The parametric representation has been used since a long time for the evaluation of Feynman diagrams. As a dimension independent intermediate representation, it allows a clear description of singularities. Recently, it has become a choice tool for the investigation of the type of transcendent numbersappearing in the evaluation of Feynman diagrams. The inclusion of numerators has however stagnated since the ground work of Nakanishi. I here show howto greatly simplify the formulas through the use of Dodgson identities. In the massless case in particular, reduction to the completion to a vacuum graph allows for a strong reduction of the maximal power of the Symanzik polynomial in the denominator.
