1993/08/05 by Luis Huerta, Jorge Zanelli · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat #hep-th
paper · pdf · doi:10.1103/physrevlett.71.3622
published as Phys. Rev. Lett. 71, (1993) 3622 · 11 pages, ReVTeX
arxiv created 1993/08/05 · openalex publication_date 1993/11/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 1. The resulting fermionic theory is minimally coupled to a non-Abelian gauge field in a spontaneously broken phase containing monopoles.