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.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8911273
Program Officer
Alvin I. Thaler
Project Start
Project End
Budget Start
1990-04-15
Budget End
1992-09-30
Support Year
Fiscal Year
1989
Total Cost
$73,410
Indirect Cost
Name
New York University
Department
Type
DUNS #
City
New York
State
NY
Country
United States
Zip Code
10012