Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (“unquenching”) change the three-gluon vertex via the quark-triangle diagrams which themselves include fully dressed quark-gluon vertex f...

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Bibliographic Details
Published in:EPJ Web of Conferences
Main Authors: Blum Adrian L., Alkofer Reinhard, Huber Markus Q., Windisch Andreas
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Online Access:https://doi.org/10.1051/epjconf/201713703001
Description
Summary:Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (“unquenching”) change the three-gluon vertex via the quark-triangle diagrams which themselves include fully dressed quark-gluon vertex functions. On the other hand, the quark-swordfish diagram is, at least with the model used for the two-quark-two-gluon vertex employed here, of minor importance. For the leading tensor structure of the threegluon vertex the “unquenching” effect can be summarized for the nonperturbative part as a shift of the related dressing function towards the infrared.
ISSN:2100-014X