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Spin of Chern-Simons vortices

1996/05/31 by R. Banerjee, R Banerjee, P. Mukherjee · 2 citations
Physics and Astronomy · #Orbital Angular Momentum in Optics #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00389-6

published as Nucl.Phys. B478 (1996) 235-244 · 11 pages, Latex file, no figures

arxiv created 1996/05/31 · openalex publication_date 1996/10/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss a novel method of obtaining the fractional spin of abelian and nonabelian Chern-Simons vortices. This spin is interpreted as the difference between the angular momentum obtained by modifying Schwinger's energy momentum tensor by the Gauss constraint, and the canonical (Noether) angular momentum. It is found to be a boundary term depending only on the gauge field and, hence, is independent of the matter sector to which the Chern-Simons term couples. Addition of the Maxwell term does not alter the fractional spin.

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