Complex Langevin dynamics: criteria for correctness
Abstract
The complex Langevin method is a leading candidate for solving the sign problem occurring in various physical situations, notably QCD at finite chemical potential. Its most vexing problem is `convergence to the wrong limit', where the simulation gives a well defined, but incorrect, result. Here, we first outline a formal justification of the method and identify points at which it might fail. From these we derive a condition that must be satisfied in order for correct results to be obtained. We then apply these ideas to the three-imensional SU(3) spin model at finite chemical potential and show strong indications that complex Langevin dynamics yields correct results in this theory.
Keywords
Cite
@article{arxiv.1110.5749,
title = {Complex Langevin dynamics: criteria for correctness},
author = {Gert Aarts and Frank A. James and Erhard Seiler and Ion-Olimpiu Stamatescu},
journal= {arXiv preprint arXiv:1110.5749},
year = {2011}
}
Comments
7 pages, 5 figures. Contribution to the XXIX International Symposium on Lattice Field Theory, July 10 - 16 2011, Squaw Valley, Lake Tahoe, California. Several figures