Field Theory and Disordered Systems (Physics)

场论和无序系统（物理学）

• 批准号: 8706420
• 负责人: John Imbrie
• 金额: $ 6.42万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8706420&HistoricalAwards=false
• 关键词: Field; Theory; Disordered; Systems; Physics

Professor John Imbrie is an outstanding, young mathematical physicist who has made significant contributions to our understanding of constructive quantum field theory and of disordered systems. His proof of the existence of a long range order for the three dimensional random-field Ising model was a major advancement for the field. He now proposes to investigate the behavior of directed polymers in a random environment and to develop rigorous renormalization group methods for gauge theories. He also plans to study interacting walks, such as the self-avoiding walk in four dimensions. Two of the most interesting problems in condensed matter physics and high energy physics have to do with disordered systems and quantum field theory, respectively. Professor Imbrie's research on these problems has been excellent, advancing our knowledge significantly. He proposes to continue and to expand his research in these areas. These are difficult problems, but if Professor Imbrie can solve them, their impact on the scientific community will be important. For example, applied physics and chemistry are concerned about his work on the behavior of directed polymers. Funding for this exciting and fundamental research is strongly recommended.

约翰·英布里教授是一位杰出的、年轻的数学物理学家，他为我们理解建设性的量子场论和无序系统做出了重大贡献。他证明了三维随机场伊辛模型长程有序的存在，这是该领域的一大进步。他现在建议研究定向聚合物在随机环境中的行为，并为规范理论发展严格的重整化群方法。他还计划研究相互作用的行走，比如四维的自我回避行走。凝聚态物理和高能物理中最有趣的两个问题分别与无序系统和量子场论有关。英布里教授对这些问题的研究非常出色，极大地提高了我们的知识水平。他建议继续并扩大他在这些领域的研究。这些都是棘手的问题，但如果英布里教授能够解决这些问题，它们对科学界的影响将是重要的。例如，应用物理学和化学关注他在定向聚合物行为方面的工作。强烈建议为这项激动人心的基础性研究提供资金。