Scattering Amplitudes and Novel Approaches to Field Theory

在任何量子场论中，S矩阵--它编码了该理论的散射幅度--是最基本的可观测到的。振幅与横截面直接相关，横截面是在大型强子对撞机等粒子加速器上测量的。因此，对S矩阵的深入研究无论在理论上还是在实验上都具有重要意义。近年来，人们发现了隐藏的数学结构--这些结构被标准的微扰方法完全掩盖了。这些发展极大地提高了我们对S矩阵的理解，并导致了新的对称性和对偶性的发现，这反过来又引发了新的、高效的幅度计算技术的发展。值得注意的是，其中一些结果对大型强子对撞机有直接作用。该项目将重点关注这一快速发展领域的最新和令人着迷的发展。

In any quantum field theory, the S-matrix - which encodes the scattering amplitudes of the theory - is the most fundamental observable. Amplitudes are directly related to cross sections, which are measured at particle accelerators such as the LHC. Hence a thorough study of the S-matrix is of fundamental importance both on a theoretical and experimental side. In recent years, hidden mathematical structures have been unearthed - structures which are completely obscured by standard perturbative methods. These developments have dramatically improved our understanding of the S-matrix and led to the discovery of new symmetries and dualities, which in turn have triggered the development of novel, and highly efficient techniques to compute amplitudes. Remarkably, some of these results are of direct use to the LHC. This project will focus on the most recent and fascinating developments in this rapidly evolving field.