Geodesic
New Faddeev–Niemi-type variables for the static Yang–Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 2, pp. 222-253 Cet article a éte moissonné depuis la source Math-Net.Ru

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Faddeev and Niemi introduced a nonlinear sigma model as a natural extension of the Faddeev $SU(2)$ chiral model. The field variables in the extended model are two chiral fields taking values in $SU(3)/(U(1)\times U(1))$ and $SU(3)/(SU(2)\times U(1))$. Shabanov showed that the energy functional of the extended model is bounded from below by a topological invariant and can therefore support knotlike excitations and a mass gap. We introduce new variables of the Faddeev–Niemi type for the static $SU(3)$ Yang–Mills theory, which reveal a structure of a nonlinear sigma model in the Lagrangian.
Keywords: Yang–Mills field, Faddeev–Niemi variables, stringlike soliton, maximal Abelian gauge fixing, Skyrme–Faddeev model. 
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M. P. Kisielowski. New Faddeev–Niemi-type variables for the static Yang–Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 2, pp. 222-253. http://geodesic.mathdoc.fr/item/TMF_2013_176_2_a3/

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