Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas
Abstract
Description
We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body $δ$-function interaction. We verify this conjecture in first-order perturbation theory near bosons. If the channel width is reduced to zero, the one-dimensional system is fermionic for all anyons other than bosons.
8 pages, plain TeX, no figures
8 pages, plain TeX, no figures