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

  title={The Grassmannian sigma model in SU(2) Yang–Mills theory},
  author={David J. E. Marsh},
  journal={Journal of Physics A: Mathematical and Theoretical},
  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… 

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