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

WANG Ke; JIANG Yun-Guo; HUO Qiu-Hong

doi:10.1088/1674-1137/34/5/003

Chinese Physics C> 2010, Vol. 34> Issue(5) : 535-538 DOI: 10.1088/1674-1137/34/5/003

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

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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.

References

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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

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Received: 2009-05-10
Revised: 2009-09-28

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: JIANG Yun-Guo,

Received Date: 2009-05-10
Accepted Date: 2009-09-28
Available Online: 2010-05-05

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.