含Maxwell-Chern-Simons项CP^1非线性σ模型的分数自旋和分数统计性质

Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term

在 (2 +1)维时空中研究了含Maxwell Chern Simons(MCS)项的CP1非线性σ模型的量子对称性质 .取库仑规范 ,用Faddeev Senjanovic路径积分量子化方案对该系统进行量子化 .根据约束Hamilton系统的量子对称性质 。

The quantal symmetry property in the CP 1 non-linear sigma model with Maxwell-Chern-Simons (MCS) term in (2+1) dimensions is studied. In the Coulomb gauge, the system is quantized in the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantal symmetries of a constrained Hamiltonian system, the fractional spin at the quantum level of this system is presented.