Gauge theory of Lorentz group as a source of the dynamical electroweak symmetry breaking

TL;DR

This paper proposes a gauge theory based on the Lorentz group that could dynamically break electroweak symmetry through fermion interactions, potentially explaining mass generation without confinement.

Contribution

It introduces a novel gauge theory of the Lorentz group coupled to fermions, suggesting a phase with chiral symmetry breaking that could drive electroweak symmetry breaking.

Findings

The theory may exist in a phase with broken chiral symmetry and no confinement.

Fermions interact with an SO(3,1) gauge field leading to mass generation.

Small corrections could explain the observed fermion mass hierarchy.

Abstract

We consider the gauge theory of Lorentz group coupled in a nonminimal way to fermions. We suggest the hypothesis that the given theory may exist in the phase with broken chiral symmetry and without confinement. The lattice discretization of the model is described. This unusual strongly coupled theory may appear to be the source of the dynamical electroweak symmetry breaking. Namely, in this theory all existing fermions interact with the SO(3,1) gauge field. In the absence of the other interactions the chiral condensate may appear and all fermionic excitations may acquire equal masses. Small corrections to the gap equations due to the other interactions may cause the appearance of the observed hierarchy of masses.