  We extend to large lattices the work of a previous investigation of the phase
diagram of the anisotropic five-dimensional SU(2) Yang-Mills model using Monte
Carlo simulations in the regime where the lattice spacing in the fifth
dimension is larger than in the other four dimensions. We find a first order
phase transition between the confining and deconfining phase at the anisotropic
parameter point $\beta_4=2.60$ which was previously claimed to be the critical
point at which the order of the transition changes from first to second. We
conclude that large lattices are required to establish the first order nature
of this line of transitions and consequently that the scenario of dimensional
reduction of the five-dimensional theory to a continuum four-dimensional theory
via the existence of the so-called "layer phase" is unpromising.
