Anomalous Magnetic Moment of Anyons in three dimensional $CP^{N-1}$ Model

Details Anomalous Magnetic Moment of Anyons in three dimensional $CP^{N-1}$ Model Anomalous Magnetic Moment of Anyons in three dimensional $CP^{N-1}$ Model

1995-12-09

arxiv.org/abs/hep-th/9512054v1

Phys.Lett. B383 (1996) 327-332

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTex, uses epsf.sty. 3 figures (tarred, gzip compressed, and uuencoded postscripts by `uufiles') appended as separa

Scientific paper

We calculate the anomalous magnetic moment of anyons in three dimensional $CP^{N-1}$ model with a Chern-Simons term in various limits in $1/N$ expansion. We have found that for anyons of infinite mass the gyromagnetic ratio ($g$-factor) is 2 up to the next-to-leading order in $1/N$. Our result supports a recent claim that the $g$-factor of nonrelativistic anyons is exactly two. We also found that for $-{8\over\pi }<\theta<0$, the electromagnetic interation between two identical aynons of large mass are attractive.

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