Grand unification using a generalized Yang-Mills theory

TL;DR

This paper demonstrates how generalized Yang-Mills theories can be used to construct grand unified theories, specifically deriving an SU(5) GUT from an SU(6) framework with a minimal Lagrangian structure.

Contribution

It introduces a novel approach to grand unification using generalized Yang-Mills theories, simplifying the Lagrangian and representation requirements.

Findings

SU(5) GUT derived from SU(6) with SU(5)xU(1) subgroup

Minimal Lagrangian with only two terms

Two irreducible representations for fermions and bosons

Abstract

Generalized Yang-Mills theories have a covariant derivative that employs both scalar and vector bosons. Here we show how grand unified theories of the electroweak and strong interactions can be constructed with them. In particular the SU(5) GUT can be obtained from SU(6) with SU(5)xU(1) as a maximal subgroup. The choice of maximal subgroup also determines the chiral structure of the theory. The resulting Lagrangian has only two terms, and only two irreducible representations are needed, one for fermions and another for bosons.