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arXiv · 0807.0826

Yang-Mills gauge theories from fermionic lattice models

Paolo Maraner·Jiannis K. Pachos
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Abstract

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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Paolo Maraner, Jiannis K. Pachos. 2009-05-28. Yang-Mills gauge theories from fermionic lattice models. https://doi.org/10.1016/j.physleta.2009.05.029

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