Bose-Fermi Transformation In Three Dimensional Space
arXiv:cond-mat/9308006 · doi:10.1103/PhysRevLett.71.3622
Abstract
A generalization of the Jordan-Wigner transformation to three (or higher) dimensions is constructed. The nonlocal mapping of spin to fermionic variables is expressed as a gauge transformation with topological charge equal to one. The resulting fermionic theory is minimally coupled to a nonabelian gauge field in a spontaneously broken phase containing monopoles.
11 pages, ReVTeX