Rotational anomalies without anyons

Abstract

A specific field theory is proposed in two spatial dimensions which has anomalous rotational properties. Although this might be expected to lead to a concrete realization of what Wilczek refers to as the anyon, it is shown by utilizing the transformation properties of the system and the statistics of the underlying charge fields that anyonic interpolations between bosons and fermions do not occur. This leads to the suggestion that anyons inferred from semiclassical considerations will not survive the transition to a fully relativistic field theory.