Dynamical Lorentz symmetry breaking in 3D and charge fractionalization

TL;DR

This paper investigates how Lorentz symmetry can be spontaneously broken in a 3D fermionic model with four-fermion interactions, revealing connections to phenomena like charge fractionalization and graphene physics.

Contribution

It introduces a 3D fermion model exhibiting dynamical Lorentz symmetry breaking with implications for charge fractionalization and condensed matter systems.

Findings

Lorentz invariance can be dynamically broken in the model.

The low-energy limit includes sub-models relevant to graphene.

Connections to charge fractionalization phenomena are established.

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.