Mean-Field Gauge Interactions in Five Dimensions II. The Orbifold
Nikos Irges, Francesco Knechtli, Kyoko Yoneyama
TL;DR
This paper investigates gauge-Higgs unification in five-dimensional lattice models with orbifold boundary conditions, demonstrating spontaneous symmetry breaking through nonzero gauge boson mass calculations, thus supporting previous simulation results.
Contribution
It introduces a mean-field lattice approach for SU(2) gauge theories with orbifold boundaries, showing spontaneous symmetry breaking in this setup for the first time.
Findings
Gauge boson mass is nonzero, indicating symmetry breaking.
Supports earlier Monte Carlo simulation results.
Validates mean-field approach for orbifold gauge theories.
Abstract
We study Gauge-Higgs Unification in five dimensions on the lattice by means of the mean-field expansion. We formulate it for the case of an SU(2) pure gauge theory and orbifold boundary conditions along the extra dimension, which explicitly break the gauge symmetry to U(1) on the boundaries. Our main result is that the gauge boson mass computed from the static potential along four-dimensional hyperplanes is nonzero implying spontaneous symmetry breaking. This observation supports earlier data from Monte Carlo simulations [12].
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