English

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

Mathematical Physics 2009-02-19 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.0801.3621,
  title  = {The Spin-Statistics Theorem for Anyons and Plektons in d=2+1},
  author = {Jens Mund},
  journal= {arXiv preprint arXiv:0801.3621},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T10:05:46.815Z