Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions.

The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear O(3) model in 2+1 dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a non-commuting algebra. We obtain the expression of the BRST hamiltonian and show that the residual interaction can be perturbatively treated in an IR-divergence-free way. As an application of the formalism we explicitly evaluate the two-loop correction to the soliton mass. Typeset using REVTEX ∗E-mail: [email protected]. †Fellow of the CONICET, Buenos Aires, Argentina. 1