Bose-Fermi Transformation In Three Dimensional Space

Preprint

5 August 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9308006

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.

Keywords

WIGNER TRANSFORMATION
FERMI TRANSFORMATION
DIMENSIONAL SPACE
BOSE FERMI
FERMIONIC
NONLOCAL
JORDAN

All Related Versions

Version 1, 1993-08-05, ArXiv
Published version: Physical Review Letters, 71 (22), 3622.

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