Non-perturbative features of the three-gluon vertex in Landau gauge

We present a calculation of the three-gluon vertex from its Dyson-Schwinger equation in Landau-gauge Yang-Mills theory. All tensor structures are considered and back-coupled self-consistently. Within the chosen truncation, two-loop diagrams as well as diagrams containing Green's functions beyon...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Vujinovic, Milan, Alkofer, Reinhard, Eichmann, Gernot, Williams, Richard
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.04.2014
Subjects
Decoupling
Green's functions
Mathematical analysis
Tensors
Yang-Mills theory
Online AccessGet full text

Cover

More Information
Summary:We present a calculation of the three-gluon vertex from its Dyson-Schwinger equation in Landau-gauge Yang-Mills theory. All tensor structures are considered and back-coupled self-consistently. Within the chosen truncation, two-loop diagrams as well as diagrams containing Green's functions beyond the primitively divergent ones are neglected. Only the three-gluon vertex is chosen to be dynamical; the other propagators and vertex functions are provided as separate solutions of their Dyson-Schwinger equations or by Ansatz. For both scaling- and decoupling-type solutions we observe, in agreement with other studies, a sign change in the tree-level tensor dressing at a non-perturbative scale.
ISSN:2331-8422