Braid Group Statistics and their Superselection Rules
Braid Group Statistics and their Superselection Rules
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Braid Group统计及其超选规则
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通讯作者：
K. Rehren
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作者：
K. Rehren
本文介绍了低维量子场论中统计性质的最新结果。它们由辫群的酉表示来描述。本文讨论了“约化场丛”的结构，它是一个带电场代数，在它的对易关系中表现出辫群（“交换代数”）。我们系统化的结果超选择规则与辫子群统计部门。
We present recent results on the statistics in low-dimensional quantum field theory. They are described by unitary representations of the braid group. We discuss the structure of the “reduced field bundle” which is a charged field algebra exhibiting the braid group in its commutation relations (“exchange algebra”). We systematize results about the superselection rules for sectors with braid group statistics.