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SU（2）Chern-Simons涡旋解的拓扑结构
  • ISSN号：1007-4627
  • 期刊名称：《原子核物理评论》
  • 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资助项目（KJX2-SW-No16,KJCX3-SYW-No2）;国家自然科学基金资助项目（10435080,10575123）
作者： 刘紫玉[1,3], 李希国[1,2], 张鹏鸣[1,2], 李永青[1,3]
关键词： Chern—Simons理论, Dunne—Jackiw—Pi—Trugenberger模型, 涡旋, Chern-Simons theory , Dunne-Jackiw-Pi-Trugenberger model, vortex
中文摘要：

运用规范势分解理论研究了Dunne-Jackiw-Pi-Trugenberger模型中的自对偶方程，得到一个静态的自对偶Chern-Simons多涡旋解，每个涡旋由5个参数描述。发现了自对偶解与拓扑数之间的关系，而拓扑数由Brouwer度与Hopf指标确定。同时，也研究了该涡旋解的磁通量的拓扑量子化。

英文摘要：

The self-dual equation and its solution in SU（2） Dunne-Jackiw-Pi-Trugenberger model has been discussed with special ansatz for the Lie algebraic structures of su（2） and gauge potential decomposition. We Obtained a new concrete self-dual equation and found the relationship between SU （2） Chern-Simons vortices and topological number which is determined by Hopf indices and Brouwer degrees of φ-mapping. M-vortices solutions are discribed by using 5m parameters （two positions, one scale, one phase per vortex and one charge of each vortex）. The quantization of flux is also studied in this case.

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期刊信息
  • 《原子核物理评论》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院近代物理研究所 中国核物理学会
  • 主编：肖国青
  • 地址：兰州市31号信箱
  • 邮编：730000
  • 邮箱：npr@impcas.ac.cn
  • 电话：0931-4969371/4
  • 国际标准刊号：ISSN：1007-4627
  • 国内统一刊号：ISSN：62-1131/O4
  • 邮发代号:54-183
  • 获奖情况:
  • 2009年1月获甘肃省优秀期刊奖
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:1602