RUI: Amplitudes in Gauge theory and Gravity

RUI：规范理论和引力中的振幅

基本信息

批准号：
1720202
负责人：
Stephen Naculich
金额：
$ 12万
依托单位：
Bowdoin College
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2017
资助国家：
美国
起止时间：
2017-08-01 至 2021-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1720202&HistoricalAwards=false
关键词：
RUI Amplitudes Gauge theory Gravity

项目摘要

This award funds the research activities of Professor Stephen Naculich at Bowdoin College.The research of Professor Naculich is part of an on-going effort by the worldwide community of theoretical elementary particle physicists to develop mathematical models to explain the nature and behavior of the smallest constituents of matter (the so-called "elementary particles"). More specifically, this research aims at developing more efficient mathematical tools for calculating the predictions of a certain class of existing theories known as "gauge theories", and extending these methods to more general theories. A second goal of this research is to explore links between gauge theories on the one hand, and theories that describe the behavior of gravitons, the particles responsible for the force of gravity, on the other. The insights gained through this research will be disseminated through journal publications, seminars, and conference proceedings. As a result, this research will advance the national interest by promoting the progress of science in one of its most fundamental directions: the discovery and understanding of new physical law. This project is also expected to have significant broader impacts, since it integrally involves participation by undergraduate students. It therefore will contribute to their education by providing hands-on training in research methods in theoretical physics, as well as exposure to diverse topics such as quantum mechanics, group theory, and quantum field theory. Such involvement will encourage and prepare highly-talented students for graduate study and careers in critical scientific fields. In more technical terms, this project will focus on the structure of perturbative scattering amplitudes in gauge theories and gravity and the relations between them. In particular, the research will involve continued exploration of the recently discovered "color-factor symmetry" of gauge-theory amplitudes, particularly at loop level, its extension to more general theories, and its relationship to color-kinematic duality. This project will further investigate Cachazo-He-Yuan representations for gauge-theory and gravity amplitudes involving massive particles, and also loop-level amplitudes, with particular focus on infrared divergences. This research will extend the study of the classification of operators in effective field theories contributing to subleading and subsubleading soft theorems. Finally, this project will continue to explore the Regge limit of gravitational scattering amplitudes, focusing on the interplay with infrared divergences and soft theorems, and the relationship with analogous issues in gauge theory.

该奖项为鲍登学院（Bowdoin College）的斯蒂芬·纳库里奇（Stephen Naculich）教授的研究活动提供了资金。纳库利奇教授的研究是全球理论基本粒子物理学家持续努力的一部分，以开发数学模型来解释物质组成部分的性质和行为（所谓的“基本粒子”）。更具体地说，这项研究旨在开发更有效的数学工具来计算某种类似于“量规理论”的现有理论的预测，并将这些方法扩展到更一般的理论。这项研究的第二个目标是一方面探索量规理论之间的联系，以及描述重力的行为的理论，另一方面是重力力的粒子。通过这项研究获得的见解将通过期刊出版物，研讨会和会议记录传播。结果，这项研究将通过以最基本的方向之一来促进科学的进步来提高国家利益：对新物理法的发现和理解。预计该项目将产生更广泛的影响，因为它的本科生综合参与了。因此，它将通过在理论物理学研究方法中提供动手培训以及对量子力学，群体理论和量子场理论等各种主题的影响，从而为他们的教育做出贡献。这种参与将鼓励和准备高度的学生在关键科学领域的研究生学习和职业。用更技术的术语来说，该项目将重点关注仪表理论和重力及其之间的关系的扰动散射幅度的结构。特别是，这项研究将涉及对仪表理论幅度最近发现的“颜色因子对称性”的持续探索，尤其是在环级上，其扩展到更一般的理论及其与颜色基因二元性的关系。该项目将进一步研究Cachazo-He-Yuan表示仪表理论和重力振幅涉及大量颗粒的幅度，以及循环级别的幅度，特别关注红外差异。这项研究将扩展对有效领域理论中运营商分类的研究，这些理论有助于跨倾斜和宣传软定理。最后，该项目将继续探索重力散射幅度的限制，重点是与红外差异和软定理的相互作用，以及与仪表理论中类似问题的关系。