SPIN STATISTICS THEOREM AND SCATTERING IN PLANAR QUANTUM-FIELD THEORIES WITH BRAID STATISTICS

被引:55
作者
FROHLICH, J [1 ]
MARCHETTI, PA [1 ]
机构
[1] UNIV PADUA, IST NAZL FIS NUCL, DIPARTIMENTO FIS, I-35131 PADUA, ITALY
关键词
D O I
10.1016/0550-3213(91)90378-B
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We further develop the general theory of superselection sectors and their statistics for quantum fields on three-dimensional space-time. We show that the statistics of particles that are not localizable in bounded regions of space-time (but in space-like cones) are described by braid-group, rather than permutation-group representations, unless their spins are integral or half-integral. A general connection between spin and statistics is established. Extensions of the theory to non-relativistic systems of two-dimensional condensed matter physics are sketched which makes it applicable to the fractional quantum Hall effect and certain models of high-T(c) superconductivity.
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收藏
页码:533 / 573
页数:41
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