  We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills
theory in a five-dimensional spacetime with a compact extra dimension. The
non-renormalizable theory is regularized on an anisotropic lattice and
investigated through numerical simulations in a regime characterized by a
hierarchy between the scale of low-energy physics, the inverse compactification
radius, and the cutoff scale. We map out the structure of the phase diagram and
the pattern of lines corresponding to fixed values of the ratio between the
mass of the fifth component of the gauge field and the non-perturbative mass
gap of the four-dimensional modes. We discuss different limits of the model,
and comment on the implications of our findings.
