Spin of Solitons in 2 + 1 Dimensional Models Coupled with the Chern-Simons Gauge Field

Abstract

The spin of solitons is considered in the models coupled with the Chem-Simons gauge field. In particular, we shall examine how the large gauge fixing of the Chem-Simons gauge field is related to the expression for spin of the solitons, in both the O(3) sigma-model coupled with the Chem-Simons gauge field and the Chem-Simons-Higgs model. Then, we shall show that, in order to obtain a plausible expression for the spin of the soliton, it is necessary to impose an appropriate large gauge condition on the Chern-Simons gauge field. We also comment on the relation between the spin of solitons and the extra angular momentum of static solitons.