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The Grassmannian sigma model in SU(2) Yang-Mills theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2007 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 40, no 32, 9919-9928 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 40, no 32, 9919-9928 p.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-13792DOI: 10.1088/1751-8113/40/32/015ISI: 000248250100019OAI: oai:DiVA.org:uu-13792DiVA: diva2:41562
Available from: 2008-01-25 Created: 2008-01-25 Last updated: 2011-01-27Bibliographically approved

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