  We present a non-perturbative model of Gauge-Higgs Unification. We consider a
five-dimensional pure SU(2) gauge theory with orbifold boundary conditions
along the fifth dimension, such that the symmetry is reduced to U(1) at the
fixed points of the orbifold action. The spectrum on the four-dimensional
boundary hyperplanes includes, apart from the U(1) gauge boson, also a complex
scalar, interpreted as a simplified version of the Standard Model Higgs field.
The gauge theory is defined on a Euclidean lattice which is anisotropic in the
extra dimension. Using the boundary Wilson Loop and the observable that
represents the scalar and in the context of an expansion in fluctuations around
a Mean-Field background, we show that a) near the bulk phase transition the
model tends to reduce dimensionally to a four-dimensional gauge-scalar theory,
b) the boundary U(1) gauge symmetry breaks spontaneously due to the broken
translational invariance along the fifth dimension, c) it is possible to
construct renormalized trajectories on the phase diagram along which the Higgs
mass is constant as the lattice spacing is varied, d) by taking a continuum
limit in the regime where the anisotropy parameter is small, it is possible to
predict the existence of a Z' state with a mass around 1 TeV.
