论文标题
Amplituhedra，及以后
Amplituhedra, and Beyond
论文作者
论文摘要
这篇综述是关于量子场理论中可观察物的最近建立的几何方法的入门。主要重点是Amplituhedra，即编码各种理论的散射幅度的几何形状。这些与一个更广泛的几何形式有关，称为正几何，我们回顾了其基础知识。我们还描述了该家族的其他成员，这些成员与不同的物理量相关，并简要考虑了与积极几何相关的最新发展。最后，我们讨论了该领域的主要开放问题。这是物理学杂志邀请的局部评论：数学和理论。
This review is a primer on recently established geometric methods for observables in quantum field theories. The main emphasis is on amplituhedra, i.e. geometries encoding scattering amplitudes for a variety of theories. These pertain to a broader family of geometries called positive geometries, whose basics we review. We also describe other members of this family that are associated with different physical quantities and briefly consider the most recent developments related to positive geometries. Finally, we discuss the main open problems in the field. This is a Topical Review invited by Journal of Physics A: Mathematical and Theoretical.
