New Numerical Methods for Quantum Field Theory etc.

将在纽约大学建立一个跨学科研究小组，致力于开发新的数值方法来研究量子场理论(主要是晶格规范理论)和临界现象。该小组最初将由乔纳森·古德曼教授、艾伦·索卡尔教授和丹尼尔·茨万齐格教授组成，他们是博士后研究员，以及两名研究生。该小组的一个特殊优势将是以研究人员为代表的三个学科之间的交叉融合：数值分析、量子场论和统计力学。这种合作导致了多网格蒙特卡罗方法的发展，这为从根本上提高蒙特卡罗方法的效率展示了巨大的希望。该小组的主要项目将是继续研究这种方法。第二个项目是开发计算背景规范场中费米子传播子的新算法；这是费米子格点规范理论数值研究的关键一步。此外，该小组计划继续研究动力学费米子、随机电阻问题和自我避免随机行走的算法。

An interdisciplinary research group will be established at New York University devoted to the development of new numerical methods for the study of quantum field theory (primarily lattice gauge theories) and critical phenomena. The group will consist initially of Professors Jonathan Goodman, Alan Sokal and Daniel Zwanziger, a post-doctoral fellow, and two graduate students. A special strength of the group will be the cross-fertilization between the three disciplines represented by the researchers: numerical analysis, quantum field theory, and statistical mechanics. This collaboration has led to the development of the multi-grid Monte Carlo method, which shows great promise for radically improving the efficiency of Monte Carlo method. The major project of the group will be to continue the investigation of this method. A second project will be to develop new algorithms for computing the fermion propagator in a background gauge field; this is a key step in numerical studies of lattice gauge theory with fermions. In addition, the group plans to continue its investigations of algorithms for dynamical fermions, for the random-resistor problem, and for the self- avoiding random walk.