SU(2)Chern-Simons涡旋解的拓扑结构

刘紫玉; 李希国; #; 张鹏鸣; 李永青

doi:10.11804/NuclPhysRev.24.04.268

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SU(2)Chern-Simons涡旋解的拓扑结构

刘紫玉, 李希国, #, 张鹏鸣, 李永青

文章导航 > 原子核物理评论 > 2007 > 24(4): 268-273

刘紫玉, 李希国, #, 张鹏鸣, 李永青. SU(2)Chern-Simons涡旋解的拓扑结构[J]. 原子核物理评论, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

引用本文:

刘紫玉, 李希国, #, 张鹏鸣, 李永青. SU(2)Chern-Simons涡旋解的拓扑结构[J]. 原子核物理评论, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

Citation:

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

SU(2)Chern-Simons涡旋解的拓扑结构

doi: 10.11804/NuclPhysRev.24.04.268

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

详细信息

通讯作者: 李希国

Topological Structure of SU(2) ChernSimons Vortices

1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions Accelerator of Lanzhou, Lanzhou 730000, China;3 Graduate School of Chinese Academy of Sciences, Beijing 100049, China

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。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 obtainer 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 mapping. (two positions， one scale， one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.
- ChernSimons理论 /
- DunneJackiwPiTrugenberger模型 /
- 涡旋
Abstract: 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 obtainer 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 mapping. (two positions， one scale， one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.
- ChernSimons theory /
- DunneJackiwPiTrugenberger model /
- vortex

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SU(2)Chern-Simons涡旋解的拓扑结构

doi: 10.11804/NuclPhysRev.24.04.268

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

通讯作者: 李希国

收稿日期: 1900-01-01
修回日期: 1900-01-01
刊出日期: 2007-12-20

关键词:

ChernSimons理论 /

DunneJackiwPiTrugenberger模型 /

涡旋

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。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 obtainer 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 mapping. (two positions， one scale， one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.

English Abstract

刘紫玉, 李希国, #, 张鹏鸣, 李永青. SU(2)Chern-Simons涡旋解的拓扑结构[J]. 原子核物理评论, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

引用本文:

刘紫玉, 李希国, #, 张鹏鸣, 李永青. SU(2)Chern-Simons涡旋解的拓扑结构[J]. 原子核物理评论, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268

Citation:

LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. doi: 10.11804/NuclPhysRev.24.04.268