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

Higgs mechanism near the 5d bulk phase transition