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

HUO Qiu-Hong; JIANG Yun-Guo; WANG Ru-Zhi; YAN Hui

doi:10.1088/1674-1137/37/4/043104

Chinese Physics C> 2013, Vol. 37> Issue(4) : 043104 DOI: 10.1088/1674-1137/37/4/043104

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

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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.

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: HUO Qiu-Hong,

Corresponding author: JIANG Yun-Guo,

Received Date: 2012-05-03

Accepted Date: 2012-05-31

Available Online: 2013-04-05

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

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