Grassmann integrals by machine

Abstract

I present a numerical algorithm for direct evaluation of multiple Grassmann integrals. The approach is exact and suffers no Fermion sign problems. Memory requirements grow exponentially with the interaction range and the transverse size of the system. Low dimensional systems of order a thousand Grassmann variables can be evaluated on a workstation.

Comments: LATTICE98(algorithms), 3 pages, 3 figures, uses espcrc2, revision darkens figure points, adding one from the RIKEN/BNL Supercomputer