Research in Theoretical Elementary Particle Physics

量子场论是研究基本粒子相互作用的主要框架。麻省理工学院的丹尼尔·弗里德曼教授建议利用新的技术来计算这些粒子之间的散射幅度-这些技术已经取代了通过费曼图的传统方法。他计划将重点放在超幅的特性上，它将关于许多不同粒子过程的信息紧凑地打包在一个单独的表达式中。最初的目标是使用超幅来探索N=8超引力理论的性质，这一目标已经取得了成功。这些性质与N=8超引力是第一个在量子水平上一致的引力场论的猜想有关。对这项技术的许多其他应用和扩展也进行了展望。与这项工作相关的几个更广泛的影响。在科学层面上，我们评估壳层上振幅的能力的任何提高都是极其有价值的，因为这种振幅已经应用于各种主题，从计算欧洲核子研究中心大型强子对撞机的背景QCD事件到寻找量子引力的紫外线有限场论。此外，这一主题是对年轻研究人员进行高级教育和培训的极好领域。事实上，弗里德曼最近的导师包括亨丽埃特·埃尔万，她最近开始在密歇根大学担任助理教授，并获得了NSF职业生涯奖。

Quantum field theory is the major framework for the study of the interactions of elementary particles. Professor Daniel Freedman from MIT proposes to utilize new techniques for the computation of scattering amplitudes between these particles --- techniques which have supplanted the traditional approach via Feynman diagrams. He plans to focus on the properties of superamplitudes, which compactly package information concerning many different particle processes in a single expression. The initial goal, which has already met with success, is to use superamplitudes to explore properties of the N=8 supergravity theory. These properties are relevant to the conjecture that N=8 supergravity is the first consistent field theory of gravity at the quantum level. Numerous other applications of and extensions to this technology are envisioned.There are several broader impacts associated with this work. At a scientific level, any increase in our ability to evaluate on-shell amplitudes is extremely valuable, for such amplitudes have been applied to subjects as diverse as the computation of background QCD events for the Large Hadron Collider at CERN and the search for an ultraviolet-finite field theory of quantum gravity. Furthermore, this subject matter is an excellent area for the advanced education and training of young researchers. Indeed, Freedman's recent mentees include Henriette Elvang, who recently began an Assistant Professorship at the University of Michigan and is the recipient of an NSF CAREER Award.