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：
2111943
负责人：
Stephen Naculich
金额：
$ 13.5万
依托单位：
Bowdoin College
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2021
资助国家：
美国
起止时间：
2021-09-01 至 2024-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2111943&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.Theoretical elementary particle physics seeks to develop mathematical models that can explain the nature and behavior of the smallest constituents of matter (the so-called "elementary particles"). As part of his research, Professor Naculich aims to develop more efficient mathematical tools for calculating the predictions of existing models that describe the behaviors of quarks and gluons, particles that are important for understanding the strong interaction, and extending these methods to more general theories. A second goal of this research is to explore links between these sorts of theories and theories that describe the behavior of gravitons, the particles responsible for the force of gravity. 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 laws. This project is also expected to have significant broader impacts, since it integrally involves participation by undergraduate students. It will therefore contribute to their education by providing hands-on training in research methods in theoretical physics. 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 project will explore the Regge (or very high energy) limit of scattering amplitudes in nonplanar supersymmetric Yang-Mills theory to all orders in the loop expansion, combining group theory methods, explicit loop-level results, the known structure of infrared divergences, and eikonal methods. It will also investigate, using similar tools, the Regge limit of scattering amplitudes in gravity and supergravity, and its connection with the two-body problem in general relativity and gravitational wave generation. Finally, this research will involve the continued exploration of the recently discovered "color-factor symmetry" of tree- and loop-level gauge-theory amplitudes, and its relationship to color-kinematic duality in general gauge theories.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

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资金。理论基本粒子物理学试图开发数学模型，以解释物质最小成分的性质和行为（所谓的“基本粒子”）。作为他的研究的一部分，纳库利奇教授旨在开发更有效的数学工具来计算描述夸克和胶子行为的现有模型的预测，这些模型对于理解强烈的相互作用以及将这些方法扩展到更一般的理论很重要。这项研究的第二个目标是探索这些类型的理论与描述重力的行为的理论之间的联系，即重力力的粒子。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，这项研究将通过以其最基本的方向之一来促进科学的进步来提高国家利益：对新物理定律的发现和理解。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，它将通过提供理论物理学研究方法的动手培训来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进行研究生学习和职业。在更多的技术术语中，该项目将重点关注仪表理论和重力中的扰动散射幅度的结构，以及它们之间的关系。特别是，该项目将探索非平面超对称阳米尔斯理论中散射幅度的雷格（或极高的能量）限制到循环扩展中的所有订单，结合群体理论方法，显式循环级别的结果，已知的红外差异结构和eikonal方法。它还将使用类似的工具调查重力和超级散射幅度的重限，以及它与一般相对性和重力波产生的两体问题的联系。最后，这项研究将涉及对最近发现的树木和循环级别计算理论的“颜色因素对称性”及其与一般规程理论中颜色二重要性的关系。本奖反映了NSF的法定任务，并通过使用基础的智力效果和宽阔的范围来评估支持，并被认为是值得通过评估的支持。