A Coherent State Path Integral for Anyons

Details A Coherent State Path Integral for Anyons A Coherent State Path Integral for Anyons

1994-09-30

arxiv.org/abs/hep-th/9409194v1

Mod.Phys.Lett. A10 (1995) 985-990

Physics

High Energy Physics

High Energy Physics - Theory

Latex 6 pages, USITP-94-13

Scientific paper

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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