Anyons and Singular Gauge Transformations

Jul 31, 1989
5 pages
Published in:
  • Phys.Lett.B 230 (1989) 83-87
  • Published: Oct 26, 1989
Report number:
  • Print-89-0642 (RIO GRANDE DO SUL)

Citations per year

198919921995199820010123456
Abstract: (Elsevier)
A (2+1)-dimensional theory of charged scalar particles coupled to an abelian gauge field with Chern-Simons term in the action is canonically quantized in the Coulomb and superaxial gauges. The gauge transformation linking these two gauges is shown to be singular. Then, the superaxial gauge excitations are found to obey fractional statistics. We demonstrate that this effect does not arise when the conventional term −1/4 F μν F μν is present in the action.
  • GAUGE FIELD THEORY: THREE-DIMENSIONAL
  • GAUGE FIELD THEORY: CHERN-SIMONS TERM
  • GAUGE FIELD THEORY: COULOMB GAUGE
  • GAUGE FIELD THEORY: AXIAL GAUGE
  • GAUGE FIELD THEORY: COMMUTATION RELATIONS
  • TRANSFORMATION: GAUGE
  • POSTULATED PARTICLE: ANYON
  • STATISTICS: FRACTIONAL
  • QUANTIZATION: CONSTRAINT