Torsion instead of Technicolor

TL;DR

This paper proposes a novel approach to electroweak symmetry breaking using torsion-induced interactions between Dirac spinors, leading to fermion condensation and gauge boson mass generation without traditional Higgs mechanisms.

Contribution

It introduces a model where torsion causes fermion condensation, providing an alternative to Technicolor for dynamical electroweak symmetry breaking.

Findings

Technifermions condense due to torsion interactions

Gauge boson masses emerge from fermion condensation

Two methods proposed for fermion mass generation

Abstract

We consider the model, which contains a nonminimal coupling of Dirac spinors to torsion. Due to the action for torsion that breaks parity the left - right asymmetry of the spinors appears. This construction is used in order to provide dynamical Electroweak symmetry breaking. Namely, we arrange all Standard Model fermions in the left - handed spinors. The additional technifermions are arranged in right - handed spinors. Due to interaction with torsion technifermions are condensed and, therefore, cause appearance of gauge boson masses. In order to provide all fermions with masses we consider two possibilities. The first one is related to an additional coupling of a real massive scalar field to considered spinors. The second possibility is to introduce the mass term for the mentioned Dirac spinors composed of the Standard Model fermions and the technifermions.