Solving coupled Dyson--Schwinger equations on a compact manifold
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We present results for the gluon and ghost propagators in SU(N) Yang--Mills theory on a four-torus at zero and nonzero 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.
Keywords
Cite
@article{arxiv.hep-ph/0506053,
title = {Solving coupled Dyson--Schwinger equations on a compact manifold},
author = {C. S. Fischer and B. Gruter and R. Alkofer},
journal= {arXiv preprint arXiv:hep-ph/0506053},
year = {2008}
}
Comments
26 pages, 13 figures; v2: sections rearranged, refs updated, version to be published in Annals of Physics