Quantum Chern-Simons vortices on a sphere.
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Publication:2774976
DOI10.1063/1.1379315zbMATH Open1036.81022arXivhep-th/0010277OpenAlexW3100425889WikidataQ125891453 ScholiaQ125891453MaRDI QIDQ2774976
Author name not available (Why is that?)
Publication date: 26 February 2002
Published in: (Search for Journal in Brave)
Abstract: The quantisation of the reduced first-order dynamics of the nonrelativistic model for Chern-Simons vortices introduced by Manton is studied on a sphere of given radius. We perform geometric quantisation on the moduli space of static solutions, using a Kaehler polarisation, to construct the quantum Hilbert space. Its dimension is related to the volume of the moduli space in the usual classical limit. The angular momenta associated with the rotational SO(3) symmetry of the model are determined for both the classical and the quantum systems. The results obtained are consistent with the interpretation of the solitons in the model as interacting bosonic particles.
Full work available at URL: https://arxiv.org/abs/hep-th/0010277
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