Nonabelian Gauge Theories, Nonabelian Fluids and Noncommutative Gravity

非阿贝尔规范理论、非阿贝尔流体和非交换引力

• 批准号: 0244873
• 负责人: V Nair
• 金额: --
• 依托单位: CUNY City College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-07-01 至 2006-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0244873&HistoricalAwards=false
• 关键词: Nonabelian; Gauge; Theories; Fluids; Noncommutative

The proposed research will focus on the investigation of nonabelian Gauge Theories, non-Abelian fluids and non-commutative gravity. The PI proposes to use analytic Hamiltonian methods to extract the finite temperature behavior of Yang Mills theory in 3+1 dimensions as well as string breaking. The main tool will be to use a set of gauge invariant matrix variables. The PI will study the quantization of a nonabelian generalization of fluid mechanics that he has developed. The PI will study applications to astrophysics as well as study the quark gluon plasma in out of equilibrium situations. As a final project the PI intends to study theories of noncommutative gravity described by finite dimensional matrices. The main advantage of this approach is to be able to have finite mode approximations to gravity that preserve various invariance requirements.

拟议的研究将集中在非阿贝尔规范理论，非阿贝尔流体和非对易引力的调查。PI建议使用解析哈密顿方法来提取3+1维杨米尔斯理论的有限温度行为以及弦断裂。主要的工具将是使用一组规范不变矩阵变量。PI将研究他所开发的流体力学的非阿贝尔概括的量子化。PI将研究应用于天体物理学以及研究夸克胶子等离子体在平衡的情况下。作为最后一个项目，PI打算研究由有限维矩阵描述的非对易引力理论。这种方法的主要优点是能够保持各种不变性要求的重力有限模式近似。