Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-08
Physics
High Energy Physics
High Energy Physics - Theory
diploma thesis, submitted May 2009 at the University of Graz (Austria), 73 pages
Scientific paper
The infrared behaviour of the n-point functions of a Yang-Mills theory with a charged scalar field in the fundamental representation of SU(N) is studied in the formalism of Dyson-Schwinger equations. Assuming a stable skeleton expansion solutions in form of power laws for the Green functions are obtained. For a massless scalar field the uniform limit is sufficient to describe the infrared scaling behaviour of vertices. Not taking into account a possible Higgs-phase it turns out that kinematic singularities play an important role for the scaling solutions of massive scalars. On a qualitative level scalar Yang-Mills theory yields similar scaling solutions as recently obtained for QCD.
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