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arxiv: hep-th/9301130 · v1 · submitted 1993-01-31 · ✦ hep-th · cond-mat· hep-lat

Bosonisation in any dimension

classification ✦ hep-th cond-mathep-lat
keywords bosonisationdimensionlocaltheoryanyonschern-simonsclosecoupled
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The mechanism underlying any bosonisation or fermionisation is exposed.It is shown that any local theory of fermions on a lattice in any spatial dimension greater than one is equivalent to a local theory of Ising spins coupled to a $Z_{2}$ gauge field.There is a close relation to the description of anyons using a Chern-Simons term.

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