Quantum Chern–Simons vortices on a sphere | Zendy

Nuno M. Romão | Zendy

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Quantum Chern–Simons vortices on a sphere

Author(s) -

Nuno M. Romão

Publication year - 2001

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1379315

Subject(s) - chern–simons theory , moduli space , physics , quantization (signal processing) , classical limit , mathematical physics , hilbert space , quantum , quantum mechanics , classical mechanics , vortex , canonical quantization , quantum gravity , gauge theory , mathematics , geometry , algorithm , thermodynamics

The quantisation of the reduced first-order dynamics of the nonrelativisticmodel for Chern-Simons vortices introduced by Manton is studied on a sphere ofgiven radius. We perform geometric quantisation on the moduli space of staticsolutions, using a Kaehler polarisation, to construct the quantum Hilbertspace. Its dimension is related to the volume of the moduli space in the usualclassical limit. The angular momenta associated with the rotational SO(3)symmetry of the model are determined for both the classical and the quantumsystems. The results obtained are consistent with the interpretation of thesolitons in the model as interacting bosonic particles.Comment: 1+27 pages, LaTe

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