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Non-Abelian vortices and non-Abelian statistics

Lo, Hoi-Kwong and Preskill, John (1993) Non-Abelian vortices and non-Abelian statistics. Physical Review D, 48 (10). pp. 4821-4835. ISSN 2470-0010. doi:10.1103/PhysRevD.48.4821.

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We study the interactions of non-Abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multivalued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude that adds coherently with the direct amplitude, even if the two vortices have distinct quantum numbers. Thus two vortices can be "indistinguishable" even though they are not the same.

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Additional Information:©1993 The American Physical Society Received 28 May 1993 We thnak Martin Bucher and Kai-Ming Lee for very useful discussions. This research was supported in part by DOE Grant No. DE-FG03-ER-40701.
Issue or Number:10
Record Number:CaltechAUTHORS:LOHprd93
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2752
Deposited By: Archive Administrator
Deposited On:25 Apr 2006
Last Modified:08 Nov 2021 19:50

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