• DOI:10.1088/1751-8113/40/32/015
• Corpus ID: 11288820

The Grassmannian sigma model in SU(2) Yang–Mills theory

@article{Marsh2007TheGS,
  title={The Grassmannian sigma model in SU(2) Yang–Mills theory},
  author={David J. E. Marsh},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2007},
  volume={40},
  pages={9919 - 9928}
}

• D. Marsh
• Published 16 February 2007
• Physics
• Journal of Physics A: Mathematical and Theoretical

Spin–charge separation in pure SU(2) Yang–Mills theory was recently found to involve the dynamics of an O(3) nonlinear sigma model and, seemingly, a Grassmannian nonlinear sigma model. In this paper we explicitly construct the Grassmannian sigma model of the form appearing in 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) nonlinear sigma model is further commented upon.