FIELD CORRECTIONS TO INDUCED STATISTICS

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Abstract
The contribution of explicit field terms appearing in the Lagrangian (Chern-Simons terms and θ-terms) to the calculation of particle statistics is analyzed. The Chern-Simons term halves the contribution of current-field coupling terms in 2 + 1 dimensions. The effect of the θ-term in 3 + 1 dimensions is contrasted. In both cases, observational differences between fundamental and induced charges arise. The factor 1/2 is necessary to reconcile Paranjape's result on the angular momentum (L = 1/4) of a vortex in minimal massive QED with the general spin-statistics connection. Issues related to the (non)screening of the statistical interaction, ultraviolet sensitivity of induced statistics, and duality in the quantized Hall effect are mentioned. It is shown in passing that quite harmless-looking field theories generically contain particles with exotic statistics.

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