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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.

该奖项资助鲍登学院斯蒂芬·纳库利奇教授的研究活动。Naculich教授的研究是世界范围内理论基本粒子物理学家正在进行的努力的一部分，他们正在开发数学模型来解释物质的最小组成部分（即所谓的“基本粒子”）的性质和行为。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一类现有理论的预测，即“规范理论”，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规范理论与描述引力子行为的理论之间的联系，引力子是产生引力的粒子。通过这项研究获得的见解将通过期刊出版物、研讨会和会议记录进行传播。因此，这项研究将通过促进科学在其最基本的方向之一的进步来促进国家利益：发现和理解新的物理定律。该项目还有望产生更广泛的影响，因为它全面涉及本科生的参与。因此，它将通过提供理论物理研究方法的实践培训，以及接触量子力学、群论和量子场论等不同主题，为他们的教育做出贡献。这种参与将鼓励和培养高素质的学生在关键科学领域的研究生学习和职业生涯。在更技术性的术语中，本项目将侧重于规范理论和重力中微扰散射振幅的结构以及它们之间的关系。特别是，研究将包括对最近发现的测量理论振幅的“颜色因素对称性”的持续探索，特别是在环路水平，其扩展到更一般的理论，以及它与颜色-运动学对偶的关系。该项目将进一步研究Cachazo-He-Yuan表示涉及大质量粒子的量规理论和重力振幅，以及环路水平振幅，特别关注红外发散。本研究将扩展有效场论中算子分类的研究，并提供子导和子导软定理。最后，本项目将继续探索重力散射振幅的Regge极限，重点关注其与红外散度和软定理的相互作用，以及与规范理论中类似问题的关系。