Collaborative Research: Topics in Gauge Theory, Gravity and Cosmology

合作研究：规范理论、引力和宇宙学主题

• 批准号: 1214410
• 负责人: Daniel Kabat
• 金额: $ 12万
• 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: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-08-15 至 2015-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1214410&HistoricalAwards=false
• 关键词: Collaborative; Research; Topics; Gauge; Theory

This collaborative award funds the research activities of Professors V.P. Nair and Alexios Polychronakos at the City College of the City University of New York and Professor Daniel Kabat at Lehman College of the City University of New York. Gauge theories describe the interactions of all elementary particles. One particular gauge theory, known as Quantum Chromodynamics, describes the interactions of quarks and gluons. These are the elementary particles inside nuclei, which can bind to form nuclei as well as other yet-to-be-detected particles such as glueballs. While the interaction of quarks and gluons at very high energies is fairly well understood, a detailed understanding of how quarks and gluons bind together to form nuclei and glueballs, and why isolated quarks cannot exist ("quark confinement"), is far from complete. This research project will contribute in this direction by building on previously introduced techniques within the simpler context of gauge theories with two space dimensions. This research project will also develop new techniques for calculating the Casimir force, which arises from quantum fluctuations of the electromagnetic field and which is central to many techniques in nanomechanics. Finally, on another front, Professors Nair and Polychronakos will continue their work on statistical distributions of random matrices, with implications for a variety of questions from condensed-matter physics to quantum gravity. New physically observable quantities will be analyzed and their implications for quantum gravity will be explored.This project will have significant broader impacts. Professors Kabat, Nair, and Polychronakos will involve undergraduate and graduate students as well as postdoctoral researchers in their work, thereby providing critical training to these junior physicists. The project will also play an important role in fostering continuing collaboration between City College and Lehman College. Maintaining a joint research program has had a positive impact on attracting students to these research areas. Given the demographics of the two colleges, this has been particularly true for students from minority and under-represented groups.

该协作奖为教授V.P.的研究活动提供了资金。纽约市城市学院的Nair和Alexios Polychronakos和纽约市雷曼学院的Daniel Kabat教授。 仪表理论描述了所有基本粒子的相互作用。 一种特定的量规理论，称为量子染色体动力学，描述了夸克和胶子的相互作用。这些是核内部的基本颗粒，可以结合形成核以及其他尚未检测的颗粒，例如胶球。 虽然对非常高能量的夸克和胶子的相互作用却相当充分地理解，但对夸克和胶子如何结合在一起形成核和粘合球的详细理解，以及为什么不存在孤立的夸克（“夸克限制”），这是远离完整的。 该研究项目将通过在具有两个空间维度的规格理论的更简单的环境中构建以前引入的技术来朝着这个方向做出贡献。该研究项目还将开发用于计算Casimir力的新技术，Casimir力是由电磁场的量子波动引起的，这对于纳米力学中的许多技术至关重要。 最后，在另一个方面，Nair和Polychronakos教授将继续他们在随机矩阵的统计分布方面的工作，这对从凝结物理学到量子重力的各种问题有影响。 将分析新的物理可观察的数量，并将探索它们对量子重力的影响。该项目将产生更广泛的影响。 Kabat，Nair和Polychronakos教授将参与本科生和研究生以及博士后研究人员的工作，从而为这些初级物理学家提供重要的培训。 该项目还将在促进城市学院和雷曼学院之间的持续合作中发挥重要作用。 维持联合研究计划对吸引学生进入这些研究领域产生了积极影响。 考虑到这两所大学的人口统计学，对于来自少数群体和代表性不足的群体的学生来说尤其如此。