Studies of Model Systems in Statistical Mechanics and Quantum Field Theory

统计力学和量子场论模型系统的研究

• 批准号: 9404747
• 负责人: Barry McCoy
• 金额: $ 21.6万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404747&HistoricalAwards=false
• 关键词: Studies; Model; Systems; Statistical; Mechanics

9404747 This renewal grant involves research on solvable models for statistical mechanics and quantum field theory. Work will be done on extending research on the excitations and the completeness rules to the full phase diagram of the three-state chiral Potts model. It will be determined how the excitation spectrum of the ferromagnetic and massively superintegrable cases, which have strikingly different features, actually join together in a smooth fashion. The manner in which the level crossing phenomena of the massless incommensurate phase allows for the systems to continuously go from the ferromagnetic case to the antiferromagnetic case will be studied. Investigations of the fermionic sum representations of characters will be extended by finding the representations for the twisted affine and super algebras. %%% This theoretical research is at the interface between condensed matter physics, mathematical physics and applied mathematics. Using powerful mathematical techniques, connections between quantum field theory and statistical mechanics will be utilized to understand the properties of various condensed matter systems at a fundamental level.

9404747这个更新补助金涉及统计力学和量子场论的可解模型的研究。 我们的工作是将对激发和完备性规则的研究扩展到三态手征Potts模型的全相图。 我们将确定铁磁和大规模超可积情况下的激发谱是如何以平滑的方式结合在一起的，这两种情况具有惊人的不同特征。 将研究无质量无公度相的能级交叉现象允许系统连续地从铁磁情况到反铁磁情况的方式。 特征标的费米子和表示的研究将通过寻找扭曲仿射和超代数的表示来扩展。 %这项理论研究处于凝聚态物理、数学物理和应用数学之间的界面。 利用强大的数学技术，量子场论和统计力学之间的联系将被用来理解各种凝聚态系统的基本性质。