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

Abstract

We calculate the anomalous magnetic moment of anyons in three dimensional $C{P}^{N-1}$ 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 $-\frac{8}{\pi }<\theta <0$, the electromagnetic interation between two identical aynons of large mass are attractive.

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

References in corpus (3)

• On the Electromagnetic Interactions of Anyons
• $C{P}^N$ Model With a Chern-Simons Term
• Anomalous Magnetic Moment of Anyons

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• First order phase transitions and integrable field theory. The dilute q-state Potts model
• Correlators in integrable quantum field theory. The scaling RSOS models
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• Planar Supersymmetric Quantum Mechanics of a Charged Particle in an External Electromagnetic Field