Monte Carlo Simulations with Indefinite and Complex-Valued Measures
High Energy Physics - Lattice
2008-11-26 v1 High Energy Physics - Theory
Abstract
A method is presented to tackle the sign problem in the simulations of systems having indefinite or complex-valued measures. In general, this new approach is shown to yield statistical errors smaller than the crude Monte Carlo using absolute values of the original measures. Exactly solvable, one-dimensional Ising models with complex temperature and complex activity illustrate the considerable improvements and the workability of the new method even when the crude one fails.
Cite
@article{arxiv.hep-lat/9311072,
title = {Monte Carlo Simulations with Indefinite and Complex-Valued Measures},
author = {T D Kieu and C J Griffin},
journal= {arXiv preprint arXiv:hep-lat/9311072},
year = {2008}
}
Comments
10 A4 pages, postscript (140K), UM-P-93-70