Bose-Fermi Transformation In Three Dimensional Space

Details Bose-Fermi Transformation In Three Dimensional Space Bose-Fermi Transformation In Three Dimensional Space

1993-08-05

arxiv.org/abs/cond-mat/9308006v1

Phys. Rev. Lett. 71, (1993) 3622

Physics

Condensed Matter

11 pages, ReVTeX

Scientific paper

10.1103/PhysRevLett.71.3622

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.

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