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am splitting this off from braid group statistics, meant to host discussion of the anyon model due to:
Daniel P. Arovas, Robert Schrieffer, Frank Wilczek, Anthony Zee, Statistical mechanics of anyons, Nuclear Physics B 251 (1985) 117-126 (reprinted in Wilczek 1990, p. 173-182) doi:10.1016/0550-3213(85)90252-4
Yi-Hong Chen, Frank Wilczek, Edward Witten, Bertrand Halperin, On Anyon Superconductivity, International Journal of Modern Physics B 03 07 (1989) 1001-1067 (reprinted in Wilczek 1990, p. 342-408) doi:10.1142/S0217979289000725, CWWH-AnyonSuperfluidity.pdf:file
which – unfortunately – does not seem to go by a more canonical term than the “fictitious gauge field” that it involves.
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