Vertex functions of Coulomb gauge Yang--Mills theory

Abstract

The canonical recursive Dyson--Schwinger equations for the three-gluon and ghost-gluon vertices are solved numerically. The employed truncation includes several previously neglected diagrams and includes back-coupling effects. We find an infrared finite ghost-gluon vertex and an infrared diverging three-gluon vertex. We also compare our results with those obtained in previous calculations, where bare vertices were used in the loop diagrams.

Version accepted by Phys. Rev. D

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Cited by in corpus (6)

• Correlation functions of Landau gauge Yang-Mills theory
• On gluon and ghost propagators in linear covariant gauges
• On non-primitively divergent vertices of Yang-Mills theory
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• The Equal-Time Quark Propagator in Coulomb Gauge