Multi-vortex solution in the Sutherland model

TL;DR

This paper investigates static soliton solutions in the large-N Sutherland model, revealing their existence only for negative coupling constants and analyzing their energies, with implications for related free models.

Contribution

It provides a detailed analysis of static soliton solutions in the large-N Sutherland model, including their creation energies and conditions for existence.

Findings

Soliton solutions exist only for <1 (negative coupling)

Creation energies are unaffected by higher-order corrections

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