For a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (thetav-) statistics, called lsquoanyonsrsquo, are studied within the framework of relativistic quantum field theory. The localization properties of interpolating fields for anyons and the relation between the spin of anyons and their statistics are discussed on general grounds. A model of a quantum field theory exhibiting anyons is described. Our results might be relevant in connection with the fractional quantum Hall effect and two-dimensional models of high-T c superconductors.
Quantum Field Theory of anyons.
MARCHETTI, PIERALBERTO
1988
Abstract
For a Minkowski spacetime of dimension three, particles of arbitrary, real spin and intermediate (thetav-) statistics, called lsquoanyonsrsquo, are studied within the framework of relativistic quantum field theory. The localization properties of interpolating fields for anyons and the relation between the spin of anyons and their statistics are discussed on general grounds. A model of a quantum field theory exhibiting anyons is described. Our results might be relevant in connection with the fractional quantum Hall effect and two-dimensional models of high-T c superconductors.
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