Anomalous spin of the Chern-Simons-Georgi-Glashow model

  • With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.
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HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104
HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104.  doi: 10.1088/1674-1137/37/4/043104 shu
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Received: 2012-05-03
Revised: 2012-05-31
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Anomalous spin of the Chern-Simons-Georgi-Glashow model

    Corresponding author: HUO Qiu-Hong,
    Corresponding author: JIANG Yun-Guo,

Abstract: With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.

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