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arXiv · hep-th/9412146

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

J. P. Garrahan·L. M. Kruczenski·C. L. Schat·D. R. Bes·N. N. Scoccola
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Abstract

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.

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J. P. Garrahan, L. M. Kruczenski, C. L. Schat, D. R. Bes, N. N. Scoccola. 1994-12-16. Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions. https://doi.org/10.1103/physrevd.51.2950

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