A Coherent State Path Integral for Anyons
High Energy Physics - Theory
2015-06-26 v1
Abstract
We derive an 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 version of the Holstein-Primakoff transformation.
Cite
@article{arxiv.hep-th/9409194,
title = {A Coherent State Path Integral for Anyons},
author = {J. Grundberg and T. H. Hansson},
journal= {arXiv preprint arXiv:hep-th/9409194},
year = {2015}
}
Comments
Latex 6 pages, USITP-94-13