Geometrical meaning of braid statistics in \((1+1)\)- and \((2+1)\)- dimensional quantum field theory

DOI10.1007/BF00674969zbMath0725.22010OpenAlexW2069711440MaRDI QIDQ2277585

Hermann Hessling, R. D. Tscheuschner

Publication date: 1991

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00674969

zbMATH Keywords

invariantsquantum mechanicsspace-timeantiparticlessuperselection rulespointlike particlesAbelian braid statistics

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory (81R99) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Noncompact Lie groups of transformations (57S20)

Cites Work

• A general relation between kink-exchange and kink-rotation
• Locality and the structure of particle states
• Topological spin-statistics relation in quantum field theory
• Superselection sectors with braid group statistics and exchange algebras
• Local rings and the connection of spin with statistics
• Fields, observables and gauge transformations. I
• Fields, observables and gauge transformations. II
• A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE
• Fractional statistics on a torus

This page was built for publication: Geometrical meaning of braid statistics in \((1+1)\)- and \((2+1)\)- dimensional quantum field theory