Anomalous Magnetic Moment of Electron in Chern-Simons QED

Details Anomalous Magnetic Moment of Electron in Chern-Simons QED Anomalous Magnetic Moment of Electron in Chern-Simons QED

2003-11-15

arxiv.org/abs/hep-th/0311130v1

Phys.Lett.B581:182-192,2004

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

10.1016/j.physletb.2003.12.014

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 $\frac{1}{\beta} \ln \beta M$, where $\beta$ 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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