How does Gauge Cooling Stabilize Complex Langevin?
Numerical Analysis
2020-04-22 v1
Abstract
We study the mechanism of the gauge cooling technique to stabilize the complex Langevin method in the one-dimensional periodic setting. In this case, we find the exact solutions for the gauge transform which minimizes the Frobenius norm of link variables. Thereby, we derive the underlying stochastic differential equations by continuing the numerical method with gauge cooling, and thus provide a number of insights on the effects of gauge cooling. A specific case study is carried out for the Polyakov loop model in theory, in which we show that the gauge cooling may help form a localized distribution to guarantee there is no excursion too far away from the real axis.
Cite
@article{arxiv.1905.11683,
title = {How does Gauge Cooling Stabilize Complex Langevin?},
author = {Zhenning Cai and Yana Di and Xiaoyu Dong},
journal= {arXiv preprint arXiv:1905.11683},
year = {2020}
}
Comments
23 pages, 4 figures