Theories of violation of statistics

Details Theories of violation of statistics Theories of violation of statistics

2000-07-06

arxiv.org/abs/hep-th/0007054v2

AIP Conf.Proc.545:113-127,2004

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, talk given at the International Conference on the Spin-Statistics Connection and Commutation Relations: Experimental

Scientific paper

10.1063/1.1337721

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.

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