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arXiv · hep-th/0311130

Anomalous Magnetic Moment of Electron in Chern-Simons QED

Ashok Das·Silvana Perez
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Abstract

We calculate the anomalous magnetic moment of the electron in the Chern-Simons theory in 2+1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell-Chern-Simons (MCS) theory, we find that there is an infrared divergence, both at zero as well as at finite temperature, when the tree level Chern-Simons term vanishes, which suggests that a Chern-Simons term is essential in such theories. At high temperature, the thermal correction in the MCS theory behaves as $\frac{1}β \ln βM$, where $β$ denotes the inverse temperature and $M$, the Chern-Simons coefficient. On the other hand, we find no thermal correction to the anomalous magnetic moment in the pure Chern-Simons (CS) theory.

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Ashok Das, Silvana Perez. 2003-11-15. Anomalous Magnetic Moment of Electron in Chern-Simons QED. https://doi.org/10.1016/j.physletb.2003.12.014

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