Amplituhedra，及其他
Amplituhedra, and Beyond
摘要：
这篇评论是对最近建立的量子场论中可观测量的几何方法的一个入门。主要的重点是振幅面体，即几何编码散射振幅的各种理论。这些属于一个更广泛的家庭的几何称为积极的几何，其基础知识，我们审查。我们还描述了这个家庭的其他成员，与不同的物理量，并简要地考虑最近的发展有关的积极的几何形状。最后，我们讨论了该领域的主要开放问题。这是《物理学报A辑：数学与理论》邀请的一篇专题评论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
