English

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

High Energy Physics - Theory 2009-10-28 v1

Abstract

The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear O(3)O(3) model in 2+12+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.

Keywords

Cite

@article{arxiv.hep-th/9412146,
  title  = {Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions},
  author = {J. P. Garrahan and L. M. Kruczenski and C. L. Schat and D. R. Bes and N. N. Scoccola},
  journal= {arXiv preprint arXiv:hep-th/9412146},
  year   = {2009}
}

Comments

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