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

David Marsh
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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.

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David Marsh. 2007-07-31. The Grassmannian Sigma Model in SU(2) Yang-Mills Theory. https://doi.org/10.1088/1751-8113%2F40%2F32%2F015

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