Mathematical Sciences: RUI: Non-Perturbative Chern-Simons Theory via Path Integrals

数学科学：RUI：通过路径积分的非微扰陈-西蒙斯理论

• 批准号: 9307608
• 负责人: Dana Fine
• 金额: $ 1.42万
• 依托单位: University of Massachusetts, Dartmouth
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1995-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9307608&HistoricalAwards=false
• 关键词: Mathematical; Sciences; RUI; Non; Perturbative

The research entails applying differential geometric techniques to the Feynman path integral approach to the modern quantum theory of gravity. This also involves techniques from the topological theory of knots, in particular the recently developed concept of the Jones polynomial. The scope of this research would provide a significant contribution to mathematical physics. Participation by undergraduates in the projects will be encouraged.

这项研究需要运用微分几何 技术的费曼路径积分方法的现代 量子引力理论 这也涉及到技术， 纽结的拓扑理论，特别是最近 琼斯多项式的概念。 这个范围 研究将为数学做出重大贡献 物理学 本科生参与项目的情况将 鼓励。