期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 27, 期 5, 页码 1344-1377出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.OA-2019-0126
关键词
Complex Langevin method; gauge cooling; Polyakov loop
资金
- National University of Singapore Startup Fund [R-146-000-241-133]
- National Natural Science Foundation of China [91630208, 91641107, 11771437]
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 SU(2) 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.
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