CAJ | 학술논문

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.
운용규범세분해이론연구료Jackiw-Pi모형중적자대우방정,득도일개신적자대우방정,발현료Chern-Simons다와선해여탁복하지간적련계.위료연구Jackiw-Pi모형다와선해적탁복성질,구조료일개신적정태자대우Chern-Simons다와선해,매개와선유5개실삼수묘술.2개실삼량용래묘술와선적위치,2개실삼량용래묘술와선적척도화상위,환유일개실삼량묘술와선적하.위료연구탁복수대와선형상적영향,급출료구유불동탁복수적다와선해.령외환연구료해와선해적자통량적탁복양자화.
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 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.