Spin Transmutation in (2+1) Dimensions
Abstract
We study a relativistic anyon model with a spin-j matter field minimally coupled to a statistical gauge potential governed by the Chern-Simons dynamics with a statistical parameter α. A spin and statistics transmutation is shown in terms of a continuous 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 (infinite number) Chern-Simons matter models for given j and α.
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