On the Infrared Behaviour of Landau Gauge Yang-Mills Theory with Differently Charged Scalar Fields

Details On the Infrared Behaviour of Landau Gauge Yang-Mills Theory with Differently Charged Scalar Fields On the Infrared Behaviour of Landau Gauge Yang-Mills Theory with Differently Charged Scalar Fields

2010-11-26

arxiv.org/abs/1011.5831v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, 1 figure; talk given at the Quark Confinement and the Hadron Spectrum IX, Aug. 30 - Sept. 3, Madrid, Spain

Scientific paper

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields. This opens the possibility that within functional approaches static confinement is an universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector. The colour structure of Dyson-Schwinger equations for fundamental and adjoint scalar fields is determined for the gauge groups SU(N) and G(2) exhibiting interesting cancelations purely due to colour algebra.

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