Bose-Fermi Transformation In Three Dimensional Space
- Resource Type
- Working Paper
- Authors
- Huerta, Luis; Zanelli, Jorge
- Source
- Phys. Rev. Lett. 71, (1993) 3622
- Subject
- Condensed Matter
High Energy Physics - Theory
- Language
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.
Comment: 11 pages, ReVTeX