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arXiv · cond-mat/9308006

Bose-Fermi Transformation In Three Dimensional Space

Luis Huerta·Jorge Zanelli
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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.

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Luis Huerta, Jorge Zanelli. 1993-08-05. Bose-Fermi Transformation In Three Dimensional Space. https://doi.org/10.1103/physrevlett.71.3622

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