THE NONABELIAN CHERN-SIMONS TERM WITH SOURCES AND EXOTIC SOURCE STATISTICS

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Abstract
A system of N identical nonabelian sources interacting with a nonabelian vector potential in 2+1 dimensions is considered. The Lagrangian for the potential is the Chern-Simons term. All solutions of the field equations are constructed. The statistics of the sources is found to exhibit several novel features. In particular, it depends on the potential by which they interact and is not unique. For the gauge group SU(2), among the possible statistics is that of a 1/2 fermion. Self interaction is explicitly shown to generate an intrinsic spin for the nonabelian source just as for the abelian source. Although only the group SU(2) is considered in detail in this paper, most of its results generalize to other groups.

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