The Complex Langevin method: When can it be trusted?
High Energy Physics - Lattice
2010-04-14 v2 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We analyze to what extent the complex Langevin method, which is in principle capable of solving the so-called sign problems, can be considered as reliable. We give a formal derivation of the correctness and then point out various mathematical loopholes. The detailed study of some simple examples leads to practical suggestions about the application of the method.
Cite
@article{arxiv.0912.3360,
title = {The Complex Langevin method: When can it be trusted?},
author = {Gert Aarts and Erhard Seiler and Ion-Olimpiu Stamatescu},
journal= {arXiv preprint arXiv:0912.3360},
year = {2010}
}
Comments
14 pages, including several eps figures and tables; clarification and minor corrections added, to appear in PRD