New Numerical Methods for Quantum Field Theory and Critical Phenomena

在纽约大学成立的一个跨学科研究小组将继续运作，该小组致力于为研究量子场论(主要是晶格规范理论)和临界现象开发新的数值方法。该小组的一个特殊优势将是以统计力学为代表的三个学科之间的交叉受精。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。第二个项目是发展计算背群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 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 will continue its operation. A special strength of the group will be the cross- fertilization between the three disciplines represented by 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 backgroup 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.