Dimensional Reduction of a Generalized Flux Problem
Abstract
A generalized flux problem with Abelian and nonAbelian fluxes is considered. In the Abelian case we shall show that the generalized flux problem for tightbinding models of noninteracting electrons on either 2n or (2n + 1)dimensional lattice can always be reduced to an ndimensional hopping problem. A residual freedom in this reduction enables one to identify equivalence classes of hopping Hamiltonians which have the same spectrum. In the nonAbelian case, the reduction is not possible in general unless the flux tensor factorizes into an Abelian one times an element of the corresponding algebra.
 Publication:

Modern Physics Letters B
 Pub Date:
 1992
 DOI:
 10.1142/S021798499200079X
 arXiv:
 arXiv:condmat/9206005
 Bibcode:
 1992MPLB....6..717M
 Keywords:

 Condensed Matter;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 19 pages, preprint ETHTH 92/09 (to appear in Mod. Phys. Lett. B)