Abel CS理论与物质场耦合系统的对称性质

The Symmetries in Chern-Simons Theory Coupled to Matter Fields

采用路径积分量子化方法研究了Abel CS理论与物质场耦合系统的对称性质,通过量子Noeth既定理得 到了系统的角动量,经计算发现,这和由对称的能量-动量张量得到的结果一致,系统具有分数自旋的性质．

Chern-Simons theory coupled to a complex scalar field is quantized in the path integral formalism. Based on the symmetries of a constrained canonical (Hamiltonian) system, we get the quantal conserved angular momentum of the system under the global symmetry transformation. It is shown that fractional spin also appears at the quantum level and it coincides with results obtained through symmetric energy-momentum tensor.