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

SU(2)Chern-Simons涡旋解的拓扑结构

Topological Structure of SU(2) ChernSimons Vortices

摘要

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.

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.

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