The Spin-Statistics Theorem for Anyons and Plektons in $d=2+1$
January 23, 2008
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:low dimensional QFT, exotic statistics