Solving coupled Dyson-Schwinger equations on a compact manifold

摘要

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. (c) 2005 Elsevier Inc. All rights reserved.