E. Graziano et Kd. Rothe, ANYONS, SPIN, AND STATISTICS IN (2-DIMENSIONAL U(1)-SCALAR CHERN-SIMONS GAUGE FIELD-THEORY(1)), Physical review. D. Particles and fields, 49(10), 1994, pp. 5512-5525
We present a detailed analysis of the quantum field theory of a Chem-S
imons field coupled mimimally to massive charged bosonic matter. This
analysis is carried out in the Coulomb and covariant gauges. Some aspe
cts concerning the transformation law of the fields under Poincare tra
nsformations are clarified. Emphasis is placed on gauge-invariant oper
ators. The order and disorder operators are constructed from their dua
l algebra. The order operator is shown to obey anyonic statistics. The
correlator of the disorder operator is computed in the large boson-ma
ss limit, and the corresponding cluster properties are discussed. In t
he absence of a symmetry-breaking Higgs potential, there is no evidenc
e for the ground state being anyonic.