Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations

Understand

The two- and three-point functions and the four-gluon vertex of three-dimensional Yang-Mills theory are calculated from their Dyson-Schwinger equations and the 3PI effective action.

• Within a self-contained truncation various effects of truncating Dyson-Schwinger equations are studied.
• Estimates for the errors induced by truncations are derived from comparisons between results from different equations, comparisons with lattice results, and varying higher Green functions.
• The results indicate that the two-loop diagrams are important in the gluon propagator, where they are explicitly calculated, but not for the vertices.