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The infrared behaviour of the n-point functions of a Yang-Mills theory with acharged scalar field in the fundamental representation of SU(N) is studied inthe formalism of Dyson-Schwinger equations. Assuming a stable skeletonexpansion solutions in form of power laws for the Green functions are obtained.For a massless scalar field the uniform limit is sufficient to describe theinfrared scaling behaviour of vertices. Not taking into account a possibleHiggs-phase it turns out that kinematic singularities play an important rolefor the scaling solutions of massive scalars. On a qualitative level scalarYang-Mills theory yields similar scaling solutions as recently obtained forQCD.

Infrared Behaviour of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field