论文标题
2循环MHV Amplituhedron的无三角易怒化
Triangulation-free Trivialization of 2-loop MHV Amplituhedron
论文作者
论文摘要
本文介绍了一种新的方法，用于实施2环的N颗粒MHV Amplituhedron，从而相对于由符号翻转雕刻出的每个细胞的正变量来规避常规三角剖分。对于所有线性正条件，这种方法是通用的，因此不含逐案三角剖分，作为1910.14612在多环4粒子Amplituhedron中首次引入的正无穷大的技巧。此外，修改了1812.01822的2循环N颗粒MHV Amplituhedron，我们解释了使用常规三角剖分的非繁琐和难度，而结果具有简单的通用模式。提出了一个进一步的例子，以暂定探索其在3循环和更高较高的多个积极条件方面的概括。
This article introduces a new approach to implement positivity for the 2-loop n-particle MHV amplituhedron, circumventing the conventional triangulation with respect to positive variables of each cell carved out by the sign flips. This approach is universal for all linear positive conditions and hence free of case-by-case triangulation, as an application of the trick of positive infinity first introduced in 1910.14612 for the multi-loop 4-particle amplituhedron. Moreover, the proof of 2-loop n-particle MHV amplituhedron in 1812.01822 is revised, and we explain the nontriviality and difficulty of using conventional triangulation while the results have a simple universal pattern. A further example is presented to tentatively explore its generalization towards handling multiple positive conditions at 3-loop and higher.
