Mathematical Physics: Statistical Mechanics and Field Theory (Physics)

数学物理：统计力学和场论（物理）

• 批准号: 9008827
• 负责人: John Imbrie
• 金额: $ 2.27万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-15 至 1991-07-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9008827&HistoricalAwards=false
• 关键词: Mathematical; Physics; Statistical; Mechanics; Field

This project supports research into fundamental problems in condensed matter physics and high energy physics. The research includes rigorous renormalization group methods in the theory of critical phenomena (self-avoiding walk, percolation, and Coulomb gas). Other research directions include problems in disordered systems related to the Ising model in a random magnetic field and investigations into the phase structure of supersymmetric field theory models and the way the phase structure is constrained by index theorems. This project lies in the general area of 'theoretical' or 'mathematical' of physics with emphases on directed polymers in a random environment, the inverse square Ising model, phase diagrams, and models of quantum field theory important to matter theory and high energy physics.

该项目支持对以下基本问题的研究： 凝聚态物理和高能物理。 研究 包括严格的重整化群方法的理论， 临界现象（自避免行走、渗流和库仑 气体）。 其他的研究方向包括无序的 与随机磁场中的伊辛模型相关的系统， 超对称光场位相结构的研究 理论模型和相结构的约束方式 指数定理 这个项目属于一般的"理论"领域， 物理学的"数学"，重点是定向聚合物， 随机环境，平方反比伊辛模型，相位 图和模型的量子场论重要的物质 理论和高能物理。