The Spin-Statistics Theorem for Anyons and Plektons in d=2+1

Abstract

We prove the spin-statistics theorem for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a restriction on the degeneracy of the corresponding mass.

21 pages, 2 figures. Citation added; Minor modifications of Appendix A

References in corpus (2)

• Modular Localization of Massive Particles with "Any" Spin in d=2+1
• Scattering States of Plektons (PARTICLES with Braid Group Statistics) in 2+1 Dimensional Quantum Field Theory

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