How does Gauge Cooling Stabilize Complex Langevin?

doi:10.4208/cicp.OA-2019-0126

	How does Gauge Cooling Stabilize Complex Langevin?
	Cai, Zhenning 3; Di, Yana 1; Dong, Xiaoyu 2
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2020-05-01
卷号	27 期号:5 页码:1344-1377
关键词	Complex Langevin method gauge cooling Polyakov loop
ISSN号	1815-2406
DOI	10.4208/cicp.OA-2019-0126
英文摘要	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.
资助项目	National University of Singapore Startup Fund[R-146-000-241-133] ; National Natural Science Foundation of China[91630208] ; National Natural Science Foundation of China[91641107] ; National Natural Science Foundation of China[11771437]
WOS研究方向	Physics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000520024000003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50931]
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Zhenning
作者单位	1.BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai 519087, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Natl Univ Singapore, Dept Math, Level 4,Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore
推荐引用方式 GB/T 7714	Cai, Zhenning,Di, Yana,Dong, Xiaoyu. How does Gauge Cooling Stabilize Complex Langevin?[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2020,27(5):1344-1377.
APA	Cai, Zhenning,Di, Yana,&Dong, Xiaoyu.(2020).How does Gauge Cooling Stabilize Complex Langevin?.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,27(5),1344-1377.
MLA	Cai, Zhenning,et al."How does Gauge Cooling Stabilize Complex Langevin?".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 27.5(2020):1344-1377.