Green Function of the Sutherland Model with SU(2) internal symmetry

Abstract

We obtain the hole propagator of the Sutherland model with SU(2) internal symmetry for coupling parameter $β=1$, which is the simplest nontrivial case. One created hole with spin down breaks into two quasiholes with spin down and one quasihole with spin up. While these elementary excitations are energetically free, the form factor reflects their anyonic character. The expression for arbitrary integer $β$ is conjectured.