Article ID Journal Published Year Pages File Type
8191822 Physics Letters B 2011 6 Pages PDF
Abstract
The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons Atr the field content of the non-perturbative BRST quartet generated by Atr is derived. To identify the gluonʼs 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 color 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 Atr 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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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