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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• Critical Flavor Number in the Three Dimensional Thirring Model
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Cited by in corpus (13)

• Lorentz violation bounds on Bhabha scattering
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Matter-gravity scattering in the presence of spontaneous Lorentz violation
• Three-dimensional Lorentz-violating action
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• Influence of the four-fermion interactions in (2+1)D massive electrons system
• On the duality in CPT-even Lorentz-breaking theories
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Reconciling LSND and super-Kamiokande data through the dynamical Lorentz symmetry breaking in a four-Majorana fermion model
• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons
• Spontaneous Lorentz symmetry violation and topological defects for the Chern-Simons matter vector field
• Dynamical symmetry breaking, magnetization and induced charge in graphene: Interplay between magnetic and pseudomagnetic fields