Random-phase approximation in the fractional-statistics gas

Abstract

The random-phase approximation for a gas of particles obeying (1/2 fractional statistics, in the context of Feynman perturbation theory performed in the fermion representation, is shown to yield a gauge-invariant Meissner effect with full screening in the ground state, a coherence length comparable with the interparticle spacing, and a linearly dispersing undamped collective mode.