Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories

TL;DR

This paper explores how dynamical symmetry breaking occurs in chiral gauge theories related to the Georgi-Glashow model, using advanced functional methods to analyze bound states and conformal windows.

Contribution

It applies the effective action formalism and functional renormalization group to study symmetry breaking and conformal boundaries in chiral gauge theories with multiple fermion representations.

Findings

Most of the theory space favors color-breaking condensates.

A strongly coupled regime with complex dynamics exists beyond the dominant condensate.

The study advances understanding of infrared behavior in chiral gauge theories.

Abstract

We investigate dynamical symmetry breaking in a class of chiral gauge theories containing the Georgi-Glashow model. These theories feature a gauge sector and two fermion species that transform in the two-index antisymmetric and antifundamental representations with different multiplicities. Using the effective action formalism and the functional renormalization group, we derive the flow of four-fermion interactions that encode their resonant structure and information about bound-state formation. Generalizing the theories to multiple generations, we make contact with the loss of asymptotic freedom and dissect the boundary of a conjectured conformal window. Our results show that, while most of the theory space displays a dominant color-breaking condensate, there exists a strongly coupled regime where the lowest-laying mechanisms fail and more intricate dynamics are expected to arise. This analysis provides a first step toward the infrared behavior of chiral gauge theories with functional methods.