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...

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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
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Abstract 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.
AbstractList 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.
Author Williams, Richard
Alkofer, Reinhard
Eichmann, Gernot
Vujinovic, Milan
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Green's functions
Mathematical analysis
Tensors
Yang-Mills theory
Title Non-perturbative features of the three-gluon vertex in Landau gauge
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