English

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

High Energy Physics - Phenomenology 2017-04-05 v1

Abstract

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 three-gluon vertex the "unquenching" effect can be summarized for the nonperturbative part as a shift of the related dressing function towards the infrared.

Keywords

Cite

@article{arxiv.1611.04827,
  title  = {Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge},
  author = {Adrian L. Blum and Reinhard Alkofer and Markus Q. Huber and Andreas Windisch},
  journal= {arXiv preprint arXiv:1611.04827},
  year   = {2017}
}

Comments

Talk given by Adrian L. Blum at XIIth Quark Confinement and the Hadron Spectrum, August 28 - September 04, 2016, Thessaloniki, Greece