Spin Transmutation in (2+1) Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

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21 pages in latex, IFT-488-UNC/NUP-A-94-3, some typos are detected, a paragraph is added to the discussion section, and the re

Scientific paper

10.1016/0550-3213(94)00566-W

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 $\alpha$. A spin and statistics transmutation is shown in terms of a continuous random walk method. An integer or odd-half-integer part of $\alpha$ 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 $\alpha$.

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