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

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

10.1007/s00220-008-0628-9

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.

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