Modern Physics Letters A

A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE

A. P. Balachandran, Alan Daughton, Z.-C. GU, Giuseppe Marmo, Rafael D. Sorkin, Ajit Mohan Srivastava

Published Aug 20, 1990• 31 citations

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.

DOI: 10.1142/s0217732390001797

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