The Grassmannian Sigma Model in SU(2) Yang-Mills Theory
arXiv:hep-th/0702134 · doi:10.1088/1751-8113/40/32/015
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.
11 pages, undergraduate research project; version published in J. Phys. A