Gauge-Higgs Unification on the Lattice

TL;DR

This paper investigates a five-dimensional Gauge-Higgs Unification model on the lattice, confirming non-perturbative spontaneous symmetry breaking of the U(1) gauge symmetry through analytical Mean-Field methods, complementing previous Monte Carlo findings.

Contribution

It provides an analytical Mean-Field approach to verify non-perturbative symmetry breaking in a lattice Gauge-Higgs Unification model, supporting earlier Monte Carlo results.

Findings

Non-perturbative U(1) symmetry breaking confirmed

Mean-Field analysis aligns with Monte Carlo simulations

Supports Gauge-Higgs Unification viability on the lattice

Abstract

The simplest Gauge-Higgs Unification model is a five-dimensional SU(2) gauge theory compactified on the S^1/Z_2 orbifold, such that on the four-dimensional boundaries of space-time there is an unbroken U(1) symmetry and a complex scalar, the latter identified with the Higgs boson. Perturbatively the U(1) remains spontaneously unbroken. Earlier lattice Monte Carlo simulations revealed however that the spontaneous breaking of the U(1) does occur at the non-perturbative level. Here, we verify the Monte Carlo result via an analytical lattice Mean-Field expansion.