Dynamical Lorentz symmetry breaking in 3D and charge fractionalization

Abstract

We analyze the breaking of Lorentz invariance in a 3D model of fermion fields self-coupled through four-fermion interactions. The low-energy limit of the theory contains various sub-models which are similar to those used in the study of the graphene or in the description of irrational charge fractionalization.

14 pages, 4 figures, revtex4; v2: minor modifications, typo corrections and some clarifications in section V, version published in PRD

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