Large-N reduction with two adjoint Dirac fermions

We study the single site SU(N) lattice gauge theory with Nf = 2 adjoint Wilson fermions for values of N up to 53. We determine the phase diagram of the theory as a function of the hopping parameter k and the inverse ’t Hooft coupling b, searching for the region in which the Z 4 center symmetry is unbroken. In this region the theory is equivalent to the infinite volume theory when N! ¥. We find a region of values of k on both sides of kc for which the symmetry is unbroken, including both light physical quarks and masses O(1=a). This is surrounded by a region with a complicated sequence of partially broken phases. We calculate Wilson loop expectation values and find that using N 53 it is possible to extract the heavy-quark potential at small distances (1-3 links) but not at longer distances. For this, larger values of N, or lattices with more sites, are needed.