Twistor Methods in Quantum Field Theory

杰克·威廉姆斯的项目将基于使用现代的壳和扭转技术来研究量子场论中的一系列可观测值。这些将包括规范和引力理论的散射振幅，利用BCFW， MHV， BCJ, （ambi-）扭弦和CHY表示，以及将这些技术应用于更一般的可观测值，如规范理论中的相关函数。预计他的研究将接触到这些理论（特殊情况下）的可积性技术，以及他的导师开发的扭曲空间技术。在重力方面，我们将特别感兴趣的是开发递归技术来分析AdS/CFT中的边界相关函数，并可能应用于更高点的CMB波动。我们还将密切关注最近关于BMS群在渐近平坦时空中的作用的令人兴奋的进展，以及它与温伯格软定理和引力记忆的联系。

Jack Williams' project will be based on using modern on-shell and twistor techniques to study a range of observables in Quantum Field Theories. These will include scattering amplitudes for gauge and gravitational theories, making use of BCFW, MHV, BCJ, (ambi-)twistor string and CHY representations, and also branching out to apply these techniques to more general observables such as correlation functions in gauge theories. It is expected his investigations will make contact with integrability techniques in (special cases of) these theories, as well as the twistor space techniques developed by his supervisor. In gravity, we will be especially interested in developing recursive techniques for analyzing boundary correlation functions in AdS/CFT, with possible application to higher point CMB fluctuations. We will also pay close attention to recent exciting developments on the role of the BMS group in asymptotically flat space-times, and its connection to Weinberg's soft theorems and gravitational memory.