非Abel Chern-Simons理论中量子水平的分数自旋性质

与经典水平下的研究不同，研究了（2＋1）维含非Abel Chern-Simons 项的非线性σ模 型量子水平的分数自旋性质.根据约束Hamilton系统的Faddeev-Senjanovic(FS)路径积分量 子化方案,对该系统进行量子化，由量子Noether定理给出了量子守恒角动量，说明了在量子 水平上该系统仍具有分数自旋的性质. 关键词： 约束Hamilton系统 分数自旋 O(3)非线性σ模型

Fractional spin in non-Abel Chern-Simons theories

The property of fractional spin of O(3) non-linear sigma model with non-Abel Chern-Simons term at the quantum level is studied. This formulation is different from the classical theories. According to the rule of path integral quantization for a constrained Hamiltonian system in Faddeev-Senjanovic scheme,the system is quantized. Based on the quantal Noether theorem,the quantal conserved angular momentum is obtained and the fractional spin at the quantum level of this system is presented.