Composite Gauge fields and Broken Symmetries

TL;DR

This paper generalizes non-Abelian Grassmannian models to include partial gauge symmetry breaking, demonstrating how composite fields can dynamically generate Higgs-like mechanisms in large N limits.

Contribution

It introduces a new framework for composite gauge fields that allows partial symmetry breaking within generalized Grassmannian models, with detailed analysis for SU(2) and SO(10).

Findings

Feasible gauge symmetry breakings such as SU(2) to U(1) and SO(10) to SU(5)×U(1).

Computed properties of composite fields and gauge boson masses.

Demonstrated dynamical symmetry breaking via composite scalars in large N limit.

Abstract

A generalization of the non-Abelian version of the $CP^{N-1}$ models (also known as Grassmannian models) is presented. The generalization helps accommodate a partial breaking of the non-Abelian gauge symmetry. Constituents of the composite gauge fields, in many cases, are naturally constrained to belong to an anomaly free representation which in turn generates a composite scalar simulating Higgs mechanism to break the gauge symmetry dynamically for large $N$. Two cases are studied in detail: one based on the SU(2) gauge group and the other on SO(10). Breakings such as SU(2)$\to$U(1) or SO(10)$\to$SU(5)$\times$U(1) are found feasible. Properties of the composites fields and gauge boson masses are computed by doing a derivative expansion of the large $N$ effective action.