Fractional-statistics gas in the boson representation

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Abstract
We investigate the ground state of a fractional-statistics gas, treating the particles as bosons tied to fictitious fluxes, i.e., employing the boson representation. Calculations of the electromagnetic response function, based on the Feynman perturbation scheme with the Bogoliubov approximation, show that the ground state exhibits superconductivity with a phonon mode. The result is in quantitative agreement with that obtained in the hydrodynamic analysis by Wen and Zee, and in qualitative agreement with the results of calculations in the fermion representation.