2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188522Spin-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. AHigh Energy Physics - Theorytext