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arXiv · hep-th/9409194

A Coherent State Path Integral for Anyons

J. Grundberg·T. H. Hansson
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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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J. Grundberg, T. H. Hansson. 1994-09-30. A Coherent State Path Integral for Anyons. https://doi.org/10.1142/s0217732395001083

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