Non-abelian vortices and non-abelian statistics

Abstract

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 multi-valued 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.

38 pages and 6 figures, REVTEX (version 2) and epsf.tex, CALT-68-1867

References in corpus (6)

• Quantum Field Theory of Nonabelian Strings and Vortices
• Quantum symmetries in discrete gauge theories
• On Detecting Discrete Cheshire Charge
• Topological Approach to Alice Electrodynamics
• Anyons in discrete gauge theories with Chern-Simons terms
• Novel Spin and Statistical Properties of Nonabelian Vortices

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