Multi-vortex solution in the Sutherland model

Abstract

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 $ł<1$, 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 pages

References in corpus (3)

• Fractional Statistics in One-Dimension: View From An Exactly Solvable Model
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Solitons in the Calogero-Sutherland Collective-Field Model

Cited by in corpus (3)

• Solitons and giants in matrix models
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• The Quantum Hydrodynamics of the Sutherland Model