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How does Gauge Cooling Stabilize Complex Langevin?

文献类型：期刊论文

作者Cai, Zhenning1; Di, Yana2; Dong, Xiaoyu3
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期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
DOI10.4208/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
WOS记录号WOS:000520024000003
出版者GLOBAL SCIENCE PRESS
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.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.

入库方式： OAI收割

来源：数学与系统科学研究院

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