The Grassmannian Sigma Model in SU(2) Yang-Mills Theory

Details The Grassmannian Sigma Model in SU(2) Yang-Mills Theory The Grassmannian Sigma Model in SU(2) Yang-Mills Theory

2007-02-16

arxiv.org/abs/hep-th/0702134v3

J.Phys.A40:9919-9928,2007

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, undergraduate research project; version published in J. Phys. A

Scientific paper

10.1088/1751-8113/40/32/015

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.

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