Nontopological N‐vortex condensates for the self‐dual Chern‐Simons theory

Nontopological N‐vortex condensates for the self‐dual Chern‐Simons theory
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自对偶 Chern-Simons 理论的非拓扑 N 涡旋凝聚

DOI:
10.1002/cpa.10109
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发表时间:
2003
影响因子:
3
通讯作者:
M. Nolasco
M. Nolasco
中科院分区:
数学1区
文献类型:
--
作者:
M. Nolasco

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我们证明了具有t Hooft“周期”边界条件的自对偶Chern-Simons-Higgs理论对于任意N个涡点的非拓扑N涡解的存在性。我们使用一个阴影型引理将任意数量的单个涡粘在一起,这些涡是作为刘维尔方程的径向对称整体解的扰动而获得的。© 2003 Wiley Periodicals,Inc.
We prove the existence of nontopological N‐vortex solutions for an arbitrary number N of vortex points for the self‐dual Chern‐Simons‐Higgs theory with 't Hooft “periodic” boundary conditions. We use a shadowing‐type lemma to glue together any number of single vortices obtained as a perturbation of a radially symmetric entire solution of the Liouville equation. © 2003 Wiley Periodicals, Inc.