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中国物理学会期刊

含Hopf项和Maxwell-Chern-Simons项O(3)非线性σ模型的分数自旋和分数统计性质

CSTR: 32037.14.aps.54.43

Fractional spin in the O(3) nonlinear sigma model with Hopf and Maxwell-Chern-Simons terms

CSTR: 32037.14.aps.54.43
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  • 研究了(2+1)维时空中含Hopf项和Maxwell-Chern-Simons(MCS)项的非线性σ模型的分数自旋性质.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.

     

    The property of fractional spin of the O(3) nonlinear sigma model with Hopf and Maxwell_Chern_Simons (MCS) terms is studied. According to the rule of path integral quantization for a constrained Hamilton system in Faddeev_Senjanovic sc heme,the system is quantized. Based on the quantal Noether theorem,we get the quantal conserved angular momentum, and the fractional spin at the quantum level of this system is presented.

     

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