Braid statistics
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In mathematics and theoretical physics, braid statistics is a generalization of the spin statistics of bosons and fermions based on the concept of braid group. While for fermions (bosons) the corresponding statistics is associated to a phase gain of \pi ( 2 \pi ) under the exchange of identical particles, a particle with braid statistics leads to a rational fraction of \pi under such exchange or even a non-trivial unitary transformation in the Hilbert space (see non-Abelian anyons). A similar notion exists using a loop braid group.
In mathematics and theoretical physics, braid statistics is a generalization of the spin statistics of bosons and fermions based on the concept of braid group. While for fermions (bosons) the corresponding statistics is associated to a phase gain of \pi ( 2 \pi ) under the exchange of identical particles, a particle with braid statistics leads to a rational fraction of \pi under such exchange or even a non-trivial unitary transformation in the Hilbert space (see non-Abelian anyons). A similar notion exists using a loop braid group. ==See also== Braid symmetry Parastatistics Anyon ==References==
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