Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-28
PoS QCD-TNT-II:003,2011
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 4 figures; Talk given at the International Workshop on QCD Green's Functions, Confinement and Phenomenology, 5-9 Sep
Scientific paper
Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills theory especially the Landau gauge has been used, as it is the most accessible gauge for these methods. In the maximally Abelian gauge first results have been obtained which are very encouraging because Abelian infrared dominance has been found: The Abelian part of the gauge field propagator is enhanced at low momenta and thereby dominates the dynamics in the infrared. Also the ambiguity of two different types of solutions (decoupling and scaling) exists in both gauges. It is demonstrated how the two solutions are related in the maximally Abelian gauge. As in all two-point Dyson-Schwinger equations of the MAG the infrared dominant diagrams are sunset diagrams, in addition, a BPHZ regularisation and renormalisation of a test system with a sunset-like diagram is presented.
Alkofer Reinhard
Huber Markus Q.
Mader Valentin
Windisch Andreas
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