Physics – Mathematical Physics
Scientific paper
2009-02-25
Commun.Math.Phys.294:505-538,2010
Physics
Mathematical Physics
35 pages, 2 figures. References added; minor re-organization
Scientific paper
10.1007/s00220-009-0932-z
We prove the Bisognano-Wichmann and CPT theorems for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory, assuming Poincare covariance and asymptotic completeness. The particle masses must be isolated points in the mass spectra of the corresponding charged sectors, and may only be finitely degenerate.
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