A note about the t`Hooft`s ansatz for SU(N) real time guage theories

Details A note about the t`Hooft`s ansatz for SU(N) real time guage theories A note about the t`Hooft`s ansatz for SU(N) real time guage theories

2004-06-19

arxiv.org/abs/hep-ph/0406205v1

Phys.Part.Nucl.Lett.3:391-394,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1134/S1547477106060082

The t`Hooft's ansatz reduces the classical Yang--Mills theory to the $\lambda\phi^4$ one. It is shown that in the frame of this ansatz the real-time classical solutions for the arbitrary SU(N) gauge group is obtained by embedding $SU(2)\times SU(2)$ into SU(N). It is argued that this group structure is the only possibility in the frame of the considered ansatz. New explicit solutions for SU(3) and SU(5) gauge groups are shown.

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