The Deconfinement Transition on Coarse Lattices

We compute the critical temperature $T_c$ for the deconfinement transition of pure QCD on coarse lattices, with $N_t = 2, 3, 4$, and lattice spacings from .33 fm to .15 fm. We employ a perturbatively improved gluon action designed to remove order $a^2$ and $\alpha_s a^2$ errors. We find that $T_c$ in units of the charmonium 1P--1S splitting and the torelon mass is independent of $a$ to within approximately 5\%.