The Grassmannian Sigma Model in SU(2) Yang-Mills Theory
High Energy Physics - Theory
2008-11-26 v3
Abstract
Spin-charge separation in pure SU(2) Yang-Mills theory was recently found to involve the dynamics of an O(3) non-linear sigma model and, seemingly, a Grassmannian non-linear sigma model. In this article we explicitly construct the Grassmannian sigma model of the form appearing in the the spin-charge separated SU(2) theory through a quaternionic decomposition of the manifold, thus verifying its relevance in this context. The coupling between this model and the O(3) non-linear sigma model is further commented upon.
Keywords
Cite
@article{arxiv.hep-th/0702134,
title = {The Grassmannian Sigma Model in SU(2) Yang-Mills Theory},
author = {David Marsh},
journal= {arXiv preprint arXiv:hep-th/0702134},
year = {2008}
}
Comments
11 pages, undergraduate research project; version published in J. Phys. A