Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
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2005
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Elsevier Science Bv
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Abstract
The infrared behaviour of vertex functions in an SU(N) Yang Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost gluon vertex remains finite in this limit. The running coupling as extracted from either of these vertex functions possesses an infrared fixed point. In general, diagrams including ghost-loops dominate in the infrared over purely gluonic ones
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©2005 Elsevier B.V. All rights reserved.
We are grateful to Holger Gies, Lorenz von Smekal, Mike Pennington, Peter Watson and Dan Zwanziger for helpful discussions. This work has been supported by a grant from the Ministry of Science, Research and the Arts of Baden-Württemberg (Az: 24-7532.23- 19-18/1 and 24-7532.23-19 18/2), the Deutsche Forschungsgemeinschaft (DFG) under contract Fi 970/2- 1, and Spanish MCYT FPA 2004-02602, BFM 2002- 01003 We are grateful to Holger Gies, Lorenz von Smekal, Mike Pennington, Peter Watson and Dan Zwanziger
for helpful discussions. This work has been supported by a grant from the Ministry of Science, Research and the Arts of Baden-Württemberg (Az: 24-7532.23- 19-18/1 and 24-7532.23 19-18/2), the Deutsche Forschungsgemeinschaft (DFG) under contract Fi 970/2- 1, and Spanish MCYT FPA 2004-02602, BFM 2002- 01003