Solving coupled Dyson–Schwinger equations on a compact manifold

We present results for the gluon and ghost propagators in SU (N) Yang–Mills theory on a four-torus at zero and non-zero temperatures from a truncated set of Dyson–Schwinger equations. When compared to continuum solutions at zero temperature sizeable modifications due to the finite volume of the manifold, especially in the infrared, are found. Effects due to non-vanishing temperatures T, on the other hand, are minute for T < 250 MeV.