Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms

  • The quantal symmetry property of the CP1 nonlinear σ model with Maxwell non-Abelian Chern-Simons terms in (2+1) dimension is studied. In the Coulomb gauge, the system is quantized by using the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantaum Noether theorem, the quantal conserved angular momentum is derived and the fractional spin at the quantum level in this system is presented.

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WANG Ke, JIANG Yun-Guo and HUO Qiu-Hong. Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms[J]. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003
WANG Ke, JIANG Yun-Guo and HUO Qiu-Hong. Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms[J]. Chinese Physics C, 2010, 34(5): 535-538.  doi: 10.1088/1674-1137/34/5/003 shu
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Received: 2009-05-10
Revised: 2009-09-28
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Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms

    Corresponding author: JIANG Yun-Guo,

Abstract: 

The quantal symmetry property of the CP1 nonlinear σ model with Maxwell non-Abelian Chern-Simons terms in (2+1) dimension is studied. In the Coulomb gauge, the system is quantized by using the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantaum Noether theorem, the quantal conserved angular momentum is derived and the fractional spin at the quantum level in this system is presented.

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