论文标题
在外部电磁场中的Anyon的世界表上
On the world sheet of anyon in the external electromagnetic field
论文作者
论文摘要
我们通过最近提出的世界表概念研究了旋转粒子动力学的描述问题。考虑到具有两个规格对称性的$ 3D $ Minkowski空间中的不可还原旋转粒子的模型。自由粒子的经典轨迹位于带有时间样轴的圆柱上。气缸轴的方向由粒子动量确定，其在时空中的位置取决于总角动量的值。圆柱的半径由表示。该模型承认包含与一般（不一定是均匀）电磁场的一致相互作用。粒子的经典轨迹位于时空中的圆柱性高表面上，其位置取决于动量和总角动量的初始值。在一组Hypersuface中，所有代表在一个和同一代表上的所有世界路径都通过量规变换连接。通用电场的示例说明了一般结构。在这种情况下，粒子路径被证明是一般的伪遗传线。
We study the issue of description of spinning particle dynamics by means of recently proposed world sheet concept. A model of irreducible spinning particle in the $3d$ Minkowski space with two gauge symmetries is considered. The classical trajectories of free particle lie on a circular cylinder with a time-like axis. The direction of cylinder axis is determined by the particle momentum, and its position in space-time depends on the value of total angular momentum. The radius of cylinder is determined by the representation. The model admits inclusion of consistent interactions with a general (not necessarily uniform) electromagnetic field. The classical trajectories of the particle lie on the cylindrical hypersurface in space time, whose position is determined by the initial values of the momentum and total angular momentum. All the world paths that lie on one and the same representative in the set of hypersufaces are connected by gauge transformations. The general construction is illustrated by the example of unform electric field. In this case, the particle paths are shown to be general pseudotoroidal lines.
