Mean-Field Gauge Interactions in Five Dimensions II. The Orbifold

Understand

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].