Year: 2017
Type: article
Abstract: In principle, the strong-interaction sector of the standard model is characterized by a unique renormalization-group-invariant (RGI) running interaction and a unique form for the dressed--gluon-quark vertex, ${\mathrm{\ensuremath{\Gamma}}}_{\ensuremath{\mu}}$; but, whilst much has been learnt about the former, the latter is still obscure. In order to improve this situation, we use a RGI running-interaction that reconciles top-down and bottom-up analyses of the gauge sector in quantum chromodynamics (QCD) to compute dressed-quark gap equation solutions with 1,660,000 distinct Ans\"atze for ${\mathrm{\ensuremath{\Gamma}}}_{\ensuremath{\mu}}$. Each one of the solutions is then tested for compatibility with three physical criteria and, remarkably, we find that merely 0.55% of the solutions survive the test. Evidently, even a small selection of observables places extremely tight bounds on the domain of realistic vertex Ans\"atze. This analysis and its results should prove useful in constraining insightful contemporary studies of QCD and hadronic phenomena.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2519162777