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非相对论Chern-Simons多涡旋解的拓扑结构
  • 期刊名称：原子核物理评论25(1),20-26( 2008)
  • 时间：0
  • 分类：O189.11[理学—数学;理学—基础数学] O413.4[理学—理论物理;理学—物理]
  • 作者机构：[1]中国科学院近代物理研究所,甘肃兰州730000, [2]兰州重离子加速器国家实验室原子核理论中心,甘肃兰州730000, [3]中国科学院研究生院,北京100049
  • 相关基金：中国科学院知识创新工程重点方向性项目（KJX2-SW-No16,KJCX3-SYW-No2）; 国家自然科学基金资助项目（10435080,10575123）
  • 相关项目：五夸克奇特重子态
关键词： 拓扑数, 涡旋, Jackiw-Pi模型, topological number, vortex, Jackiw-Pi model
中文摘要：

运用规范势分解理论研究了Jackiw-Pi模型中的自对偶方程,得到一个新的自对偶方程,发现了Chern-Simons多涡旋解与拓扑荷之间的联系。为了研究Jackiw-Pi模型多涡旋解的拓扑性质,构造了一个新的静态自对偶Chern-Simons多涡旋解,每个涡旋由5个实参数描述。2个实参量用来描述涡旋的位置,2个实参量用来描述涡旋的尺度和相位,还有一个实参量描述涡旋的荷。为了研究拓扑数对涡旋形状的影响,给出了具有不同拓扑数的多涡旋解。另外还研究了该涡旋解的磁通量的拓扑量子化。

英文摘要：

By using the gauge potential decomposition, we have discussed the self-dual equation and its solution in Jackiw-Pi model. We obtained a new concrete self-dual equation and find relationship between Chern-Simons vortex solution and topological number which is determined by Hopf indices and Brouwer degrees of -mapping. To show the meaning of topological number we presented several figures with different topological numbers. In order to investigate the topological properties of many vortices, 5 parameters （two positions, one scale, one phase per vortex and one charge of each vortex） have been used to describe each vortex in many vortices solution in Jackiw-Pi model. For many vortices, three figures with different topological numbers have been drown to show the effect of the charge on the many vortices solution. We also studied the quantization of flux of those vortices related to the topological numbers in this case.

同期刊论文项目
基于兰州冷却储存环上强子物理的理论研究
期刊论文 214 会议论文 9 著作 1
五夸克奇特重子态
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