2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187205We consider the large-$N$ Sutherland model in the Hamiltonian collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding solutions are given by static-soliton configurations. They exist only for $ł<1$, i.e. for the negative coupling constant of the Sutherland interaction. We determine their creation energies and show that they are unaffected by higher-order corrections. For $ł=1$, the Sutherland model reduces to the free one-plaquette Kogut-Susskind model.Latex, using ioplppt.sty, 11 pagesHigh Energy Physics - Theorytext