Vortex Condensates for Relativistic Abelian Chern-Simons Model with Two Higgs Scalar Fields and Two Gauge Fields on a Torus
Vortex Condensates for Relativistic Abelian Chern-Simons Model with Two Higgs Scalar Fields and Two Gauge Fields on a Torus
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DOI：
10.1007/s00220-009-0774-8
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发表时间：
2009-03
影响因子：
2.4
通讯作者：
Changshou Lin;J. Prajapat
中科院分区：
文献类型：
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作者：
Changshou Lin;J. Prajapat
证明了环面上包含两个Higgs粒子和两个规范场的相对论Abel Chern-Simons方程的极大凝聚的存在性。通过改变变量，得到了问题的变分形式，其临界点等价于原方程组。我们证明存在一个局部极小这个功能以及存在第二个山口临界点。
We prove the existence of maximal condensates for the relativistic Abelian Chern-Simons equations involving two Higgs particles and two gauge fields on a torus. After a change of variable, we obtain a variational formulation of the problem whose critical points are equivalent to the original system of the equation. We prove existence of a local minimizer for this functional as well as the existence of a second mountain-pass critical point.