Signals of Confinement in the Dyson-Schwinger Equation for the Gauge Boson Propagator

Understand

In the first part of this thesis a coupled truncated set of Dyson-Schwinger equations (DSEs) including the one for the gluon-propagator is solved self-consistently over the whole momentum range.

• In Landau gauge the truncation of the coupled set of DSEs for the ghost and gluon propagators is improved by the first full inclusion of the sunset diagram.
• A solution method which avoids all overlapping divergences is presented.
• In the Maximal Abelian gauge a truncation is developed with respectively one infrared and one ultraviolet leading diagram included.