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

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

1994-12-16

arxiv.org/abs/hep-th/9412146v1

Phys.Rev. D51 (1995) 2950-2958

Physics

High Energy Physics

High Energy Physics - Theory

24 pages REVTEX, 1 figure, uses FEYNMAN package. To be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.51.2950

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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