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Vertex functions of Coulomb gauge Yang--Mills theory

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arxiv 1410.4766 v2 pith:N2HVOITF submitted 2014-10-17 hep-ph hep-th

classification hep-phhep-th
keywords vertexdiagramsghost-gluonincludesinfraredthree-gluonverticesback-coupling
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 2 Pith papers

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    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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