1993/07/07 by Stefano Forte, Forte, Stefano · 1 citation
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9307047
77 pages, three figures (not included, available upon request from author), plain TeX with harvmac (b mode), DFTT-93-33
arxiv created 1993/07/07 · arxiv updated 2009/11/30
These lectures discuss the formulation of quantum mechanics with fractional spin and statistics in 2+1 dimensions in a relativistic setting, emphasizing the path-integral approach. The non-relativistic theory is reviewed from a path-integral viewpoint. The group-theoretical underpinnings of relativistic fractional spin are discussed, then the path-integral quantization of spin and of massive fermions without using spinors is reviewed. The path integral for a system of n relativistic particles with fractional spin is constructed, the spin-statistics relation and the Lorentz and Poincare' representation content of physical states are discussed. Some problems in formulating a field theory with fractional statistics are presented, and their resolution in the operator cocycle approach is reviewed.