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RUI: Nonperturbative Analyses in Field Theory

RUI：场论中的非微扰分析

基本信息

批准号：
1915053
负责人：
Dimitra Karabali
金额：
$ 13.5万
依托单位：
Research Foundation Of The City University Of New York (Lehman)
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2019
资助国家：
美国
起止时间：
2019-09-01 至 2023-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1915053&HistoricalAwards=false
关键词：
RUI Nonperturbative Analyses Field Theory

项目摘要

This award funds the research activities of Professor Dimitra Karabali at Lehman College of the City University of New York. High-energy physics focuses on the fundamental building blocks of matter and their interactions. As part of her research, Professor Karabali aims to advance our understanding of the underlying theories describing these interactions, in particular Quantum Chromodynamics (QCD), the theory describing the forces between the quarks and gluons making up all atomic nuclei. Although QCD has been very successful in explaining a host of experimental data, there are certain effects to which these forces give rise which are of central importance and yet poorly understood. These include the mechanism by which quarks are bound together, producing massive composite objects. As part of this project, the PI will continue her work developing techniques that can lead to a better understanding of these effects. This project also aims to explore connections with fundamental problems in condensed-matter physics, such as the quantum Hall effect (QHE). The celebrated QHE, which is associated with systems of electrons in the presence of a strong magnetic field, has, over the years, provided a framework in which to study the interplay of many important theoretical ideas which are critical for eventually unifying gravity with the other fundamental forces of nature. As a result, the proposed research will advance the national interest by improving our knowledge of fundamental science. This project is also expected to have significant broader impacts. It will play an important role in fostering an active, scientifically oriented research environment at Lehman College, CUNY, a predominantly undergraduate, minority-serving institution, and in attracting students to physics and to undergraduate research. The project will also provide graduate-student training and foster collaboration between researchers at Lehman and City Colleges, CUNY. In more technical terms, the key objectives of this proposal can be organized in two topics. The first is the Casimir effect and Yang-Mills theory. Here it will extend the study of Casimir energy within the framework of the Hamiltonian approach for Yang-Mills theories in two spatial dimensions, as another probe to study the nonperturbative features of the theory. The second is the quantum Hall effect on curved spaces and pair production. Here it will use the quantum Hall effect on curved spaces as a tool to study the effect of curvature on pair creation and vacuum instability.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.

该奖项资助纽约市立大学雷曼学院教授迪米特拉·卡拉巴利的研究活动。高能物理专注于物质的基本组成部分及其相互作用。作为她研究的一部分，卡拉巴利教授的目标是促进我们对描述这些相互作用的基本理论的理解，特别是量子色动力学(QCD)，该理论描述了组成所有原子核的夸克和胶子之间的力。尽管QCD已经非常成功地解释了大量的实验数据，但这些力产生的某些影响是核心重要的，但人们对这些影响知之甚少。其中包括夸克被束缚在一起的机制，从而产生巨大的复合天体。作为该项目的一部分，PI将继续她的工作，开发能够更好地理解这些影响的技术。该项目还旨在探索与凝聚态物理基本问题的联系，如量子霍尔效应(QHE)。著名的QHE与强磁场下的电子系统有关，多年来，它提供了一个框架，用于研究许多重要理论思想的相互作用，这些理论对最终将重力与自然的其他基本力量统一至关重要。因此，拟议的研究将通过提高我们的基础科学知识来促进国家利益。预计该项目还将产生更广泛的重大影响。它将在纽约州立大学雷曼学院培养积极的、以科学为导向的研究环境方面发挥重要作用，雷曼学院是一所以本科生为主的少数族裔服务机构，并将在吸引学生学习物理和本科生研究方面发挥重要作用。该项目还将提供研究生培训，并促进雷曼兄弟和纽约大学城市学院研究人员之间的合作。用更专业的术语来说，这项提案的主要目标可以分成两个主题。首先是卡西米尔效应和杨-米尔斯理论。本文将在二维杨-米尔斯理论的哈密顿方法框架内扩展对Casimir能量的研究，作为研究该理论非微扰特性的另一种探索。第二个是弯曲空间上的量子霍尔效应和对产生。在这里，它将使用弯曲空间上的量子霍尔效应作为工具来研究曲率对配对创建和真空不稳定性的影响。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。