A LATTICE MODEL OF FRACTIONAL STATISTICS
1991 ◽
Vol 05
(16n17)
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pp. 2701-2733
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Keyword(s):
We present a new formulation of Chern-Simons theory on a three-dimensional lattice, with either the linear gauge group R or the finite cyclic gauge group Z N. By coupling extended objects called dumb-bells to the lattice Chern-Simons field, we obtain a model exhibiting fractional statistics in the continuum limit. Internal dumb-bell angular momenta take values consistent with their statistics. The Z N-model has a gauge-decoupled condensate. Either model can admit a Maxwell term.
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2003 ◽
Vol 18
(24)
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pp. 4451-4468
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Keyword(s):
1990 ◽
Vol 05
(32)
◽
pp. 2747-2751
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Keyword(s):
2017 ◽
Vol 114
(51)
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pp. 13418-13423
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Keyword(s):