Geodesic
Infrared Variables for the $SU(3)$ Yang--Mills Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 276-290

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We generalize the self-dual parameterization of the $SU(2)$ Yang–Mills field proposed by Niemi and Faddeev for describing the infrared limit of the theory to the case of the gauge group $SU(3)$. We demonstrate that the duality property intrinsic to the $SU(2)$ gauge field cannot be transferred automatically to the higher-rank group case. We interpret the algebraic structures appearing in the Lagrangian for the new compact variables in terms of the group products $SU(2)^{\otimes3}$.
Keywords: Yang–Mills field, duality, stringlike solitons, Kirillov forms, maximal Abelian gauge.
Mots-clés : compact variables 
@article{TMF_2004_139_2_a6,
     author = {T. A. Bolokhov and L. D. Faddeev},
     title = {Infrared {Variables} for the $SU(3)$ {Yang--Mills} {Field}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {276--290},
     publisher = {mathdoc},
     volume = {139},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a6/}
}
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T. A. Bolokhov; L. D. Faddeev. Infrared Variables for the $SU(3)$ Yang--Mills Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 276-290. http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a6/