A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE
- 20 August 1990
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 05 (20) , 1575-1585
- https://doi.org/10.1142/s0217732390001797
Abstract
A spin-statistics theorem for spinning particles in ℝd is proved without using relativity or field theory, but assuming the existence of antiparticles. The theorem excludes non-abelian statistics such as parastatistics of order 2 and more for d≥3 and statistics based on nonabelian representations of the braid groups for d=2.Keywords
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