StaticSU(3)potentials for sources in various representations

The potentials and string tensions between static sources in a variety of representations (fundamental, 8, 6, 15 antisymmetric; 10, 27 and 15 symmetric) have been computed by measuring Wilson loops in pure gauge $\mathrm{SU}\left(3\right).$ The simulations have been done primarily on anisotropic lattices, using a tadpole improved action improved to ${O(a}_s^4).\mathrm{}$ A range of lattice spacings (0.43 fm, 0.25 fm and 0.11 fm) and volumes ${(8\mathrm{}}^3\times 24,$ ${10}^3\times 24,$ ${16}^3\times 24$ and ${18}^3\times 24)$ has been used in an attempt to control discretization and finite volume effects. At intermediate distances, the results show approximate Casimir scaling. Finite lattice spacing effects dominate systematic error, and are particularly large for the representations with the largest string tensions.