Dynamical Symmetry Breaking in Chiral Gauge Theories with Direct-Product Gauge Groups

TL;DR

This paper investigates how strong interactions in chiral gauge theories with multiple gauge groups can lead to symmetry breaking through fermion condensates, depending on the structure and coupling strengths of the gauge groups.

Contribution

It provides a comparative analysis of symmetry breaking patterns in strongly coupled chiral gauge theories with direct-product gauge groups, highlighting the dependence on group structure and coupling sizes.

Findings

Patterns of symmetry breaking depend on gauge coupling strengths.

Fermion condensates can break multiple gauge symmetries.

The structure of the gauge group influences the symmetry breaking outcomes.

Abstract

We analyze patterns of dynamical symmetry breaking in strongly coupled chiral gauge theories with direct-product gauge groups $G$. If the gauge coupling for a factor group $G_i \subset G$ becomes sufficiently strong, it can produce bilinear fermion condensates that break the $G_i$ symmetry itself and/or break other gauge symmetries $G_j \subset G$. Our comparative study of a number of strongly coupled direct-product chiral gauge theories elucidates how the patterns of symmetry breaking depend on the structure of $G$ and on the relative sizes of the gauge couplings corresponding to factor groups in the direct product.