Technicolor and Lattice Gauge Theory

TL;DR

This paper discusses the role of lattice gauge theory in studying technicolor models, which aim to explain electroweak symmetry breaking through strong dynamics similar to QCD, emphasizing the need for enhanced fermion condensates.

Contribution

It highlights the importance of lattice studies in verifying the viability of technicolor theories and outlines key non-perturbative properties to investigate for realistic models.

Findings

Technicolor requires enhanced fermion condensates compared to QCD.

Lattice studies are essential for testing the feasibility of technicolor models.

Current non-perturbative investigations are ongoing and crucial for model validation.

Abstract

Technicolor and other theories of dynamical electroweak symmetry breaking invoke chiral symmetry breaking triggered by strong gauge-dynamics, analogous to that found in QCD, to explain the observed W, Z, and fermion masses. In this talk we describe why a realistic theory of dynamical electroweak symmetry breaking must, relative to QCD, produce an enhanced fermion condensate. We quantify the degree to which the technicolor condensate must be enhanced in order to yield the observed quark masses, and still be consistent with phenomenological constraints on flavor-changing neutral-currents. Lattice studies of technicolor and related theories provide the only way to demonstrate that such enhancements are possible and, hopefully, to discover viable candidate models. We comment briefly on the current status of non-perturbative investigations of dynamical electroweak symmetry breaking, and provide a "wish-list" of phenomenologically-relevant properties that are important to calculate in these theories