Abstract
We briefly report some results obtained in a joint work with J. Fröhlich on quantization and particle structure analysis of solitons in Lattice Field Theories. In particular we discuss abelian gauge theories with Chern-Simons term coupled to Higgs fields in three space-time dimensions. The solitons of such models are electrically charged vortices and they correspond to anyons (particles with any real spin in d = 2+1, see [1]) in the (formal) continuum limit. Such kind of particle excitations are believed to appear in the Fractional Quantum Hall Effect [2]. Furthermore a gas of free anyons with spin 8ϵ Qβ 1 2 Z seems to be a superconductor of a new type, which may describe (essentially) two-dimensional high T c superconductors [3].
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