Theories of violation of statistics

Abstract

I discuss theories of violations of statistics, including intermediate statistics, parastatistics, parons, and quons. I emphasize quons, which allow small violations of statistics. I analyze the quon algebra and its representations, implications of the algebra including the observables allowed by the superselection rule separating inequivalent representations of the symmetric group, the conservation of statistics rules, and the rule for composite systems of quons. I conclude by raising the question of possible origins of violations of statistics and of the level at which violations should be expected if they exist.

16 pages, talk given at the International Conference on the Spin-Statistics Connection and Commutation Relations: Experimental Tests and Theoretical Implications, Capri, Italy, May 31-June 4, 2000. Dedication added. Minor misprints corrected

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