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Vortices in (Abelian) Chern-Simons gauge theory

文献类型：期刊论文

作者Horvathy, Peter A.2; Zhang, Pengming1
刊名PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
出版日期2009-09-01
卷号481期号:5-6页码:83-142
ISSN号0370-1573
DOI10.1016/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.
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
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研究方向Physics
语种英语
WOS记录号WOS:000271411900001
出版者ELSEVIER SCIENCE BV
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
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.

入库方式： OAI收割

来源：近代物理研究所

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