Multi-vortex solution in the Sutherland model

Details Multi-vortex solution in the Sutherland model Multi-vortex solution in the Sutherland model

1996-05-28

arxiv.org/abs/hep-th/9605196v1

J.Phys.A30:717-724,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex, using ioplppt.sty, 11 pages

Scientific paper

10.1088/0305-4470/30/2/031

We 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 $\l<1$, 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 $\l=1$, the Sutherland model reduces to the free one-plaquette Kogut-Susskind model.

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