Patterns of Dynamical Gauge Symmetry Breaking

TL;DR

This paper explores theories with combined gauge symmetries, analyzing how strong coupling in one sector can dynamically break another symmetry through fermion condensates, comparing with Higgs mechanisms.

Contribution

It introduces models with ultraviolet gauge symmetry $G imes G_b$ and analyzes dynamical symmetry breaking via fermion condensates, contrasting with Higgs mechanisms.

Findings

Dynamical breaking of $G$ symmetry through strong coupling in $G_b$.

Comparison between Higgs and dynamical symmetry breaking mechanisms.

Construction of theories with ultraviolet gauge symmetry $G imes G_b$.

Abstract

We construct and analyze theories with a gauge symmetry in the ultraviolet of the form $G \otimes G_b$, in which the vectorial, asymptotically free $G_b$ gauge interaction becomes strongly coupled at a scale where the $G$ interaction is weakly coupled and produces bilinear fermion condensates that dynamically break the $G$ symmetry. Comparisons are given between Higgs and dynamical symmetry breaking mechanisms for various models.