Vortex Dynamics in Classical Non--Abelian Spin Models
High Energy Physics - Lattice
2009-10-30 v2 Condensed Matter
High Energy Physics - Theory
Abstract
We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are not responsible for the phase transition contrary to the diagonal vortices. A generalization of the abelian projection approach to SU(N) spin models is briefly discussed.
Keywords
Cite
@article{arxiv.hep-lat/9712018,
title = {Vortex Dynamics in Classical Non--Abelian Spin Models},
author = {O. A. Borisenko and M. N. Chernodub and F. V. Gubarev},
journal= {arXiv preprint arXiv:hep-lat/9712018},
year = {2009}
}
Comments
7 pages, LaTeX, 1 figure, uses epsf.sty; Introduction is extended and a few references are added; to be published in JETP Lett