Perturbative Corrections to the Migdal-Kadanoff Recursion Relations (Physics)

Migdal-Kadanoff 递归关系的微扰修正（物理）

• 批准号: 8715923
• 负责人: L. E. Roberts
• 金额: $ 18.36万
• 依托单位: Lincoln University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-15 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8715923&HistoricalAwards=false
• 关键词: Perturbative; Corrections; Migdal; Kadanoff; Recursion

Perturbative corrections to the Migdal-Kadanoff recursion relations are being extended to include second order terms in the perturbation. The extended theory will be used to analyze the Ising Model in a transverse magnetic field as a test of the method. It is hoped that the extended theory will give improved critical point predictions as well as improved values for the various critical indices such as the critical exponents for the correlation length, the magnetization, specific heat, and the spin-spin correlation function. The phase structure of Zp gauge theories will then be examined in an attempt to predict theoretically the results of the Monte-Carlo calculations of M. Creutz and M. Okawa, regarded in this context as experimental data.

Migdal-Kadanoff递推式的微扰修正 关系被扩展到包括二阶项， 扰动 扩展的理论将用于分析 在横向磁场中的伊辛模型作为测试的 法 希望扩展后的理论能给出 改进的临界点预测以及改进的值 对于各种临界指数，例如临界指数 对于相关长度，磁化强度，比热， 以及自旋-自旋相关函数。 的相结构 Zp规范理论将被检验， 从理论上预测蒙特-卡罗的结果 计算M。Creutz和M.大川，在这方面， 作为实验数据。