Vortices in (Abelian) Chern-Simons gauge theory

doi:10.1016/j.physrep.2009.07.003

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	Vortices in (Abelian) Chern-Simons gauge theory
	Horvathy, Peter A.2; Zhang, Pengming1
刊名	PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
	2009-09-01
卷号	481 期号:5-6 页码:83-142
ISSN号	0370-1573
DOI	10.1016/j.physrep.2009.07.003
英文摘要	The vortex solutions of various classical planar field theories with (Abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory, with both topological and non-topological self-dual vortices, as found by Hong-Kim-Pac, and by Jackiw-Lee-Weinberg. The non-relativistic limit of the latter leads to non-topological Jackiw-Pi vortices with a pure fourth-order potential. Explicit solutions are found by solving the Liouville equation. The scalar matter field can be replaced by spinors, leading to fermionic vortices. Alternatively, topological vortices in external field are constructed in the phenomenological model proposed by Zhang-Hansson-Kivelson. Non-relativistic Maxwell-Chern-Simons vortices are also studied. The Schrodinger symmetry of Jackiw-Pi vortices, as well as the construction of some time-dependent vortices, can be explained by the conformal properties of non-relativistic space-time, derived in a Kaluza-Klein-type framework. (c) 2009 Elsevier B.V. All rights reserved.
资助项目	Institute of Modem Physics of the Chinese Academy of Sciences at Lanzhou (China) ; Chem Institute of Mathematics of Nankai University (China) ; National Natural Science Foundation of China[10604024]
WOS关键词	EXTERNAL MAGNETIC-FIELD ; KINEMATICAL INVARIANCE GROUP ; GINZBURG-LANDAU EQUATIONS ; SELF-DUALITY ; HIGGS-MODEL ; CHARGED VORTICES ; VORTEX SOLUTIONS ; MULTIVORTEX SOLUTIONS ; SCHRODINGER-EQUATION ; GRAVITATIONAL-WAVES
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000271411900001
资助机构	Institute of Modem Physics of the Chinese Academy of Sciences at Lanzhou (China) ; Chem Institute of Mathematics of Nankai University (China) ; National Natural Science Foundation of China
公开日期	2010-10-29
内容类型	期刊论文
源URL	[http://ir.imp.cas.cn/handle/113462/5289]
专题	近代物理研究所_近代物理研究所知识存储（2010之前）
通讯作者	Horvathy, Peter A.
作者单位	1.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China 2.Univ Tours, Lab Math & Phys Theor, F-37041 Tours, France
推荐引用方式 GB/T 7714	Horvathy, Peter A.,Zhang, Pengming. Vortices in (Abelian) Chern-Simons gauge theory[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS,2009,481(5-6):83-142.
APA	Horvathy, Peter A.,&Zhang, Pengming.(2009).Vortices in (Abelian) Chern-Simons gauge theory.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS,481(5-6),83-142.
MLA	Horvathy, Peter A.,et al."Vortices in (Abelian) Chern-Simons gauge theory".PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS 481.5-6(2009):83-142.