Evaluating Grassmann Integrals
High Energy Physics - Lattice
2009-10-31 v2 Strongly Correlated Electrons
Abstract
I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. 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. The technique is illustrated with a spinless fermion hopping along a one dimensional chain.
Cite
@article{arxiv.hep-lat/9806037,
title = {Evaluating Grassmann Integrals},
author = {Michael Creutz},
journal= {arXiv preprint arXiv:hep-lat/9806037},
year = {2009}
}
Comments
8 pages, 4 figures; replacement fixes a few typos and adds a couple more points to one of the figures; final version for publication