Chiral symmetry breaking for fermions charged under large Lie groups

TL;DR

This paper investigates how fermions charged under large Lie groups can dynamically acquire mass through a combined perturbative and non-perturbative approach, extending existing theoretical frameworks.

Contribution

It extends the analysis of chiral symmetry breaking by integrating two-loop RG equations with Dyson-Schwinger equations for fermions in large Lie groups.

Findings

Demonstrates the conditions for dynamical mass generation.

Provides a unified framework combining perturbative and non-perturbative methods.

Analyzes the impact of large Lie group structures on fermion mass generation.

Abstract

We reexamine the dynamical generation of mass for fermions charged under various Lie groups with equal charge and mass at a high Grand Unification scale, extending the Renormalization Group Equations in the perturbative regime to two-loops and matching to the Dyson-Schwinger Equations in the strong coupling regime.