Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-24
Phys.Lett. B594 (2004) 402-409
Physics
High Energy Physics
High Energy Physics - Theory
The affiliation of the first author's Institution is presented in detail. LaTeX, 12 pages no figures. To appear in Phys. Lett.
Scientific paper
10.1016/j.physletb.2004.05.049
Letting the mass depend on the spin-field coupling as $M^2=m^2-(eg/2c^2)F_{\alpha\beta}S^{\alpha\beta}$, we propose a new set of relativistic planar equations of motion for spinning anyons. Our model can accommodate any gyromagnetic ratio $g$ and provides us with a novel version of the Bargmann-Michel-Telegdi equations in 2+1 dimensions. The system becomes singular when the field takes a critical value, and, for $g\neq2$, the only allowed motions are those which satisfy the Hall law. For each $g\neq2,0$ a secondary Hall effect arises also for another critical value of the field. The non-relativistic limit of our equations yields new models which generalize our previous ``exotic'' model, associated with the two-fold central extension of the planar Galilei group.
Duval Christian
Horváthy Peter A.
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