Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-14
Phys.Lett.B702:158-163,2011
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, 2 figures; version accepted for publication in Physics Letters B
Scientific paper
10.1016/j.physletb.2011.06.073
The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons $A_{\mathrm {tr}}$ the field content of the non-perturbative BRST quartet generated by $A_{\mathrm {tr}}$ is derived. To identify the gluon's BRST-daughter state as well as the Faddeev-Popov--charge conjugated second parent state, a truncated Bethe-Salpeter equation for the gluon-ghost bound state in the adjoint colour representation is derived and studied. This equation is found to be compatible with the so-called scaling solutions of functional approaches. Repeating the same construction for quarks instead of $A_{\mathrm {tr}}$ leads in a similar way to a truncated Bethe-Salpeter equation for the quark-ghost bound state in the fundamental representation. Within the scaling solution the infrared divergence of the quark-gluon vertex is exactly the right one to make this Bethe-Salpeter equation infrared consistent.
Alkofer Natalia
Alkofer Reinhard
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