A Coherent State Path Integral for Anyons
Abstract
We derive an su(1,1) coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential. By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy. The shift is the same as the one obtained for anyons by other methods. We justify the procedure by showing that the change of variables corresponds to a su(1,1) version of the Holstein-Primakoff transformation.
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