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 $\alpha$. 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 $\alpha$.

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 references are updated

References in corpus (3)

• Mott Transition in An Anyon Gas
• Deformed Heisenberg algebra and fractional spin field in 2+1 dimensions
• Equivalence of Several Chern-Simons Matter Models

Cited by in corpus (1)

• Duality and Universality for the Chern-Simons bosons