Fractional spin in non-Abel Chern-Simons theories

Abstract

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 differen t from the classical theories. According to the rule of path integral quantizati on for a constrained Hamiltonian system in Faddeev-Senjanovic scheme，the system is quantized. Based on the quantal Noether theorem，the quantal conserved angu lar momentum is obtained and the fractional spin at the quantum level of this sy stem is presented.