BOSE-FERMI TRANSFORMATION IN 3-DIMENSIONAL SPACE

Authors
HUERTA L ZANELLI J
Citation
L. Huerta et J. Zanelli, BOSE-FERMI TRANSFORMATION IN 3-DIMENSIONAL SPACE, Physical review letters, 71(22), 1993, pp. 3622-3624
Citations number
27
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
71
Issue
22
Year of publication
1993
Pages
3622 - 3624
Database
ISI
SICI code
0031-9007(1993)71:22<3622:BTI3S>2.0.ZU;2-R
Abstract
A generalization of the Jordan-Wigner transformation to three (or high er) dimensions is constructed. The nonlocal mapping of spin to fermion ic variables is expressed as a gauge transformation with topological c harge equal to 1. The resulting fermionic theory is minimally coupled to a non-Abelian gauge field in a spontaneously broken phase containin g monopoles.