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Gauge-Higgs Unification models are theories where the Higgs field is identified with some of the extra-dimensional components of the gauge field.
One motivation for these models is that the extra-dimensional gauge symmetry protects the Higgs potential from divergences in the ultra-violet cut-off.
Perturbative studies indicate that fermions are necessary to trigger the Higgs mechanism. Given the non-renormalizability of gauge theories in dimensions higher than four, we study non-perturbatively the simplest model which is a five-dimensional SU(2) gauge theory on a orbifold.
The starting point is the formulation on a Euclidean lattice. We will present results from a semi-analytic approach using a mean-field expansion and from Monte Carlo simulations. These results indicate that the Higgs mechanism takes place without fermions and support an alternative view of the lattice orbifold as a five-dimensional bosonic superconductor.