We investigate the nonperturbative phase structure of five-dimensional SU(3)<br />
pure Yang-Mills theory on the lattice. We perform numerical simulations using<br />
the Wilson plaquette gauge action on an anisotropic lattice with a<br />
four-dimensional lattice spacing (a4) and with an independent value in the<br />
fifth dimension (a5). We investigate both cases of a4 &gt; a5 and a4 &lt; a5. The<br />
Polyakov loops in the fourth and the fifth directions are observed, and we find<br />
that there are four possible phases for the anisotropic five-dimensional<br />
quenched QCD theory on the lattice. We determine the critical values of the<br />
lattice bare coupling and the anisotropy parameter for each phase transition.<br />
Furthermore, we find that the two center domains where the Polyakov loop have<br />
locally different charges of the center symmetry appears in single<br />
configuration in the specific region of the lattice parameters.