Spin transmutation in (2 + 1) dimensions

Abstract We study a relativistic anyon model with a spin- j matter field minimally coupled to an abelian Chem-Simons gauge field with a statistical parameter α. A spin and statistics transmutation is shown in terms of the continuum random walk method. An integer or odd-half-integer part of α can be reabsorbed by change of j . We discuss the equivalence of a large class of Chern-Simons matter models for given j and α.