交点数在物理学中的应用

Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019) Pub Date : 2020-11-05 DOI:10.22323/1.383.0021

S. Weinzierl

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引用次数: 7

摘要

本文讨论了扭环的交数及其与物理的关系。在定义这些交点数是什么之后，我将首先讨论计算它们的方法。接下来是物理学中出现交集数的三个例子。这些例子是:chy -形式化中的树级散射振幅，将费曼积分化简为主积分，以及晶格上的相关函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Applications of intersection numbers in physics

In this review I discuss intersection numbers of twisted cocycles and their relation to physics. After defining what these intersection number are, I will first discuss a method for computing them. This is followed by three examples where intersection numbers appear in physics. These examples are: tree-level scattering amplitudes within the the CHY-formalism, reduction of Feynman integrals to master integrals and correlation functions on the lattice.

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Proceedings of MathemAmplitudes 2019: Intersection Theory & Feynman Integrals — PoS(MA2019)

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