Vortices in (Abelian) Chern-Simons gauge theory
Vortices in (Abelian) Chern-Simons gauge theory
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（阿贝尔）陈-西蒙斯规范理论中的涡旋
DOI：
10.1016/j.physrep.2009.07.003
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发表时间：
2008-11
影响因子：
30
通讯作者：
Zhang, PM
中科院分区：
文献类型：
--
作者：
Horvathy, PA;Zhang, PM
回顾了含(Abelian)Chern-Simons项的各种经典平面场理论的涡旋解。由Paul和Khare提出的相对论涡旋是在阿贝尔Higgs模型中增加了Chern-Simons项后产生的。增加一个合适的六阶势并关闭Maxwell项为我们提供了纯粹的Chern-Simons理论，以及Hong-Kim-Pac和Jackiw-Lee-Weinberg所发现的拓扑型和非拓扑型自偶涡旋。后者的非相对论极限导致了具有纯四阶势的非拓扑Jackiw-Pi涡旋。通过求解Liouville方程得到了显式解。标量物质场可以用旋量来代替，从而产生费米子涡旋。或者，在张汉森-基夫森提出的唯象模型中构造外场中的拓扑涡。还研究了非相对论Maxwell-Chern-Simons涡旋。Jackiw-Pi涡旋的薛定谔对称性以及某些含时涡旋的构造可以用在Kaluza-Klein型框架下导出的非相对论时空的共形性质来解释。
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 Schrödinger 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.
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影响因子：
1.3
作者：
A. Polyakov;A. Belavin
通讯作者：
A. Polyakov;A. Belavin
影响因子：
64.8
作者：
A. S.
通讯作者：
A. S.
影响因子：
4.4
作者：
P. Townsend;K. Pilch;P. Nieuwenhuizen
通讯作者：
P. Townsend;K. Pilch;P. Nieuwenhuizen
DOI：
--
发表时间：
2000-10
期刊：
arXiv: Fluid Dynamics
影响因子：
--
作者：
R. Jackiw
通讯作者：
R. Jackiw
影响因子：
8.6
作者：
R. Jackiw;E. Weinberg
通讯作者：
R. Jackiw;E. Weinberg