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题名: Randomized Wilson loops, reduced models and the large D expansion
作者: Evnin, O
刊名: NUCLEAR PHYSICS B
出版日期: 2011
卷号: 853, 期号:2, 页码:461-474
关键词: LATTICE GAUGE-THEORY ;  EGUCHI-KAWAI MODEL
学科分类: Physics
通讯作者: Evnin, O (reprint author), Acad Sinica, Inst Theoret Phys, Zhongguancun Donglu 55, Beijing 100190, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the gauge theory) becomes large. Even though this limit appears to be of little use for computing the standard rectangular Wilson loop (which always singles out two directions out of D), a meaningful large D limit can be defined for a randomized Wilson loop (in which all D directions contribute equally). In this article, a proof-of-concept demonstration of this approach is given for the simplest reduced model (the original Eguchi-Kawai model) and the simplest randomization of the Wilson loop (Brownian sum over random walks). The resulting averaged Wilson loop displays a scale behavior strongly reminiscent of the area law. (C) 2011 Elsevier B.V. All rights reserved.
资助者: Chinese Academy of Sciences; National Natural Science Foundation of China
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000295544600009
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14210
Appears in Collections:理论物理所2011年知识产出_期刊论文

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Recommended Citation:
Evnin, O. Randomized Wilson loops, reduced models and the large D expansion[J]. NUCLEAR PHYSICS B,2011,853(2):461-474.
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