Investigations in Elementary Particle Physics

这个项目的主要效果将是研究量子场论中的非微扰效应，使用变分方法计算离散点阵上由它们的值近似的连续场。这与其他工人的“蒙特卡洛”随机方法形成了鲜明对比。这项工作将包括弱耦合极限的近似和超对称功的推广。其他主题包括电子和质子磁矩的精确计算工作，一些数值“格子弦理论”工作，以及一些关于复杂量子力学系统的时间相关性的工作。这个项目的工作应该会提高我们对场论的理解。这可能会导致对超导超级对撞机未来实验的预测。为数值工作开发的算法可以应用于其他物理问题，或许也可以应用于其他科学和工程问题。

The main effect under this project will be study of non- perturbative effects in quantum field theory using a variational approach for calculation of continuous fields approximated by their values on a discrete lattice of points. This is in constrast to the "Monte Carlo," random approach of other workers. The work will include approximations in the weak coupling limit and extension of supersymmetric work. Other topics include work on precision calculation of the magnetic moments of the electron and proton, some numerical "lattice string theory" work, and some work on time dependence of complex quantum mechanical systems. The work of this project should improve our understanding of field theories. It could lead to predictions for future experiments on the Superconducting Super Collider. Algorithms developed for the numerical work could have applications to other physics problems and, perhaps, to other scientific and engineering problems as well.