Chern-Simons matrix model: coherent states and relation to Laughlin wavefunctions

Details Chern-Simons matrix model: coherent states and relation to Laughlin wavefunctions Chern-Simons matrix model: coherent states and relation to Laughlin wavefunctions

2001-06-02

arxiv.org/abs/hep-th/0106016v2

Phys.Rev. B64 (2001) 245316

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX; one reference added, abstract and section 5 expanded, typos corrected

Scientific paper

10.1103/PhysRevB.64.245316

Using a coherent state representation we derive many-body probability distributions and wavefunctions for the Chern-Simons matrix model proposed by Polychronakos and compare them to the Laughlin ones. We analyze two different coherent state representations, corresponding to different choices for electron coordinate bases. In both cases we find that the resulting probability distributions do not quite agree with the Laughlin ones. There is agreement on the long distance behavior, but the short distance behavior is different.

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