A Unified Conformal Model for Fundamental Interactions without Dynamical Higgs Field

TL;DR

This paper introduces a Higgsless unified model for fundamental interactions based on local conformal symmetry, which naturally generates particle masses and reproduces Einsteinian gravity without a dynamical Higgs field.

Contribution

It proposes a conformally invariant Lagrangian model that eliminates the Higgs field while still producing realistic particle masses and gravitational interactions.

Findings

Particle masses are generated without a Higgs field.

The model reproduces Einsteinian gravity in the classical limit.

All Standard Model fields are incorporated without a dynamical Higgs.

Abstract

A Higgsless model for strong, electro-weak and gravitational interactions is proposed. This model is based on the local symmetry group SU(3)xSU(2)xU(1)xC where C is the local conformal symmetry group. The natural minimal conformally invariant form of total lagrangian is postulated. It contains all Standard Model fields and gravitational interaction. Using the unitary gauge and the conformal scale fixing conditions we can eliminate all four real components of the Higgs doublet in this model. However the masses of vector mesons, leptons and quarks are automatically generated and are given by the same formulas as in the conventional Standard Model. The gravitational sector is analyzed and it is shown that the model admits in the classical limit the Einsteinian form of gravitational interactions. No figures.