AB规范场中的拓扑效应和动力学效应

Topological Effect and Dynamical Effect of AB Gauge Field

采用路径积分的方法分析AB规范场中平面转子在定态磁通和随时间变化磁通两种情况下的本征函数和本征值,定态磁通使空间发生扭曲产生了拓扑位相,而变化磁通产生感生电场,使带电粒子在力矩的作用下发生定轴旋转正好抵消了磁通规范场产生的扭曲,因此同伦类传播子的动力学对称性无破缺.

The research studies the eigenfunction and eigenvalue of the plane rotor of AB gauge field by path integrals.In both cases of time-independent and time-dependent magnetic flux,it can be concluded that the space is distorted by the time-independent magnetic flux,which produces topological phase.However,the time-dependent magnetic flux induces an electric field,which exerts a torque and makes the particle rotate.The distortion of magnetic flux is just counterbalanced by the torque rotation.Therefore,the symmetric relation of homotopy class propagators is not destroyed.