Localisation and mass generation for non-Abelian gauge fields

It has been suggested recently that in the presence of suitably 'warped' extra dimensions, the low-energy limit of pure gauge field theory may contain massive elementary vector bosons localised on a 'brane', but no elementary Higgs scalars. We provide non-perturbative evidence in favour of this conjecture through numerical lattice measurements of the static quark-antiquark force of pure SU(2) gauge theory in three dimensions, of which one is warped. We consider also warpings leading to massless localised vector bosons, and again find evidence supporting the perturbative prediction, even though the gauge coupling diverges far from the brane in this case. (author)