Yang-Mills gauge theories from fermionic lattice models

Details Yang-Mills gauge theories from fermionic lattice models Yang-Mills gauge theories from fermionic lattice models

2008-07-05

arxiv.org/abs/0807.0826v2

Phys.Lett.A373:2542-2545,2009

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 1 figure, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2009.05.029

A doublet of three-dimensional Dirac fermions can effectively describe the low energy spectrum of a fermionic cubic lattice. We employ this fermion doubling to encode a non-Abelian SU(2) charge in the fundamental representation. We explicitly demonstrate that suitable distortion of the tunnelling couplings can introduce a scalar and a Yang-Mills field in the effective low energy description, both coupled to the Dirac fermions. As an application we simulate Yang-Mills monopoles that give rise to localized zero-modes and fermion fractionalization. The generation of the non-Abelian field in the two-dimensional case is also presented.

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