Mathematical Sciences: Constructive Computer Methods Appliedto Problems in Statistical Mechanics and Quantum Field Theory

数学科学：应用于统计力学和量子场论问题的构造性计算机方法

• 批准号: 8703539
• 负责人: Peter Wittwer
• 金额: $ 2.5万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703539&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Constructive; Computer; Methods

This research project plans to combine a number of computer-assisted methods developed by the PI and others and construct the renormalization group fixed point which governs the infrared behavior of critical lattice systems in three dimensions, such as the critical phi 4/3 scalar quantum field model or the three dimensional Ising model. It also plans to get rigorous bounds on the (universal) critical exponents of these models. The work to get the rigorous results for these three dimensional models will be done on a supercomputer. Quantum field theory is aimed at a rigorous mathematical construct for quantum physical models of reality. Conclusions deduced from the theory will enhance our understanding of quantum physics and allow us to exploit this new understanding for new and innovative technological advances.

本研究项目计划将联合收割机的多个 PI和其他人开发的计算机辅助方法 并构造重正化群不动点， 控制着临界晶格系统的红外行为， 尺寸，如临界φ 4/3标量量子 场模型或三维伊辛模型。 它还 计划得到严格的界限（普遍）临界指数， 这些模型。 工作要严谨 这些三维模型的结果将在 超级计算机 量子场论的目标是一个严格的数学 现实的量子物理模型。 推断的结论 从理论上将增强我们对 量子物理学，让我们能够利用这种新的理解， 和创新的技术进步。