Numerical Studies in Quantum Field Theory and Critical Phenomena

量子场论和临界现象的数值研究

• 批准号: 9900769
• 负责人: Alan Sokal
• 金额: $ 16万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-06-01 至 2002-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9900769&HistoricalAwards=false
• 关键词: Numerical; Studies; Quantum; Field; Theory

Research in theoretical physics will lie at the interface between elementary-particle physics and statistical physics, applying methods from both fields to problems in each. Investigations in elementary-particle physics will focus on numerical study of quantum chromodynamics, which is the increasingly-confirmed detailed theory of the strong subnuclear force. The interaction energy between a pair of quarks will be calculated numerically, with the aim of testing a recently proposed theory of quark confinement. Investigations in statistical physics will focus on numerical elucidation of the class of phase transitions known as "critical phenomena", by developing and applying new and more efficient "Monte Carlo" methods of calculation. The methodology involves a combination of heuristic physical reasoning, rigorous mathematical analysis, and systematic numerical testing. In particular, study of the self-avoiding random walk will have direct applications to the behavior of polymer molecules in dilute solution.

理论物理学的研究将位于基本粒子物理学和统计物理学之间的界面，将两个领域的方法应用于每个领域的问题。 基本粒子物理学的研究将集中在量子色动力学的数值研究上，这是一个越来越被证实的强亚核力的详细理论。 一对夸克之间的相互作用能将被数值计算，目的是测试最近提出的夸克禁闭理论。 统计物理学的研究将集中在被称为“临界现象”的相变类的数值说明，通过开发和应用新的和更有效的“蒙特卡罗”计算方法。 该方法包括启发式物理推理，严格的数学分析和系统的数值测试相结合。 特别是，自避免无规行走的研究将直接应用于稀溶液中的聚合物分子的行为。