How does Gauge Cooling Stabilize Complex Langevin?

doi:10.4208/cicp.OA-2019-0126

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	How does Gauge Cooling Stabilize Complex Langevin?
	Cai, Zhenning 1; Di, Yana 2; Dong, Xiaoyu 3
	2020-05-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	27 期号:5 页码:1344-1377
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.
关键词	Complex Langevin method gauge cooling Polyakov loop
DOI	10.4208/cicp.OA-2019-0126
收录类别	SCI
语种	英语
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
WOS类目	Physics, Mathematical
WOS记录号	WOS:000520024000003
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50932
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.Natl Univ Singapore, Dept Math, Level 4,Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore 2.BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai 519087, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
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.