Gauge theory of Lorentz group on the lattice

TL;DR

This paper proposes a lattice gauge theory model of the Lorentz group with fermions, suggesting it could exhibit chiral symmetry breaking and potentially explain dynamical electroweak symmetry breaking.

Contribution

It introduces a lattice regularization of a Lorentz gauge theory with fermions and explores its phase structure and implications for electroweak symmetry breaking.

Findings

Model may exist with broken chiral symmetry

Model may lack confinement

Potential link to dynamical electroweak symmetry breaking

Abstract

The model with the fermions coupled in the non - minimal way to the gauge theory of Lorentz group is considered. The lattice regularization is suggested. It is argued that this model may exist in the phase with broken chiral symmetry and without confinement. We speculate about the possibility that this construction may serve as an origin of the dynamical electroweak symmetry breaking.