English

Bose-Fermi Transformation In Three Dimensional Space

Condensed Matter 2009-10-22 v1 High Energy Physics - Theory

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

Cite

@article{arxiv.cond-mat/9308006,
  title  = {Bose-Fermi Transformation In Three Dimensional Space},
  author = {Luis Huerta and Jorge Zanelli},
  journal= {arXiv preprint arXiv:cond-mat/9308006},
  year   = {2009}
}

Comments

11 pages, ReVTeX