Abstract
The physical content of a para-Fermi field theory is analysed from the point of view of its local observables. The parafield theory leads to parastatistics only for special choices of the observable algebra, and only then does it give a complete description of the relevant physical states. On the other hand there is always a physically equivalent description in terms of a certain number of ordinary Fermi fields from which the observables are selected by a gauge group (in general non-Abelian). Thus one can always achieve a reduction to Fermi statistics by considering a system with different particle types which are distinguished by hidden (unobservable) quantum numbers.
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Drühl, K., Haag, R. & Roberts, J.E. On parastatistics. Commun.Math. Phys. 18, 204–226 (1970). https://doi.org/10.1007/BF01649433
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DOI: https://doi.org/10.1007/BF01649433