Anomalous spin of the Chern-Simons-Georgi-Glashow model
Huo Qiu-Hong, Jiang Yunguo
TL;DR
This paper investigates the quantization of the Chern-Simons-Georgi-Glashow model in Coulomb gauge, revealing an anomalous spin arising from differences in angular momentum definitions due to the Chern-Simons term.
Contribution
It demonstrates the origin of anomalous spin in the CSGG model by analyzing the differences between Schwinger and canonical angular momentum in the presence of the Chern-Simons term.
Findings
Identification of anomalous spin in the CSGG model.
Difference between Schwinger and canonical angular momentum due to Chern-Simons term.
Insight into symmetry properties of energy-momentum tensors with Chern-Simons term.
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 that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in presence of the Chern-Simons term.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Topological Materials and Phenomena · Quantum Mechanics and Applications