Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-19
PoS QCD-TNT-II:002,2011
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 3 figures; Talk given at the International Workshop on QCD Green's Functions, Confinement and Phenomenology (QCD-TNT-
Scientific paper
A non-perturbative version of the BRST quartet mechanism in infrared Landau gauge QCD is proposed for transverse gluons and quarks. Based on the positivity violation for transverse gluons the content of the respective non-perturbative BRST quartet is derived. To identify the gluon's BRST-daughter and second parent state, a truncated Bethe-Salpeter equation for the gluon-(anti-)ghost bound state is investigated. We comment shortly on several equivalent forms of this equation. Repeating the same construction for quarks leads to a truncated Bethe-Salpeter equation for a fundamentally charged quark-(anti-)ghost bound state. It turns out that a cardinal input to this equation is given by the fully dressed quark-gluon vertex, and that it is indispensable to dress the quark-gluon vertex in this equation in order to obtain a consistent truncation.
Alkofer Natalia
Alkofer Reinhard
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