Scattering Amplitudes and Novel Approaches to Field Theory

在任何量子场论中，S-矩阵--它编码了理论的散射振幅--是最基本的可观测的。振幅与横截面直接相关，横截面是在LHC等粒子加速器上测量的。因此，对S矩阵的深入研究在理论和实验上都具有重要意义。近年来，隐藏的数学结构已经被发掘出来-这些结构完全被标准的微扰方法所掩盖。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，高效的技术来计算振幅的发展。值得注意的是，其中一些结果直接用于LHC。该项目将专注于这个快速发展的领域的最新和迷人的发展。

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.