6533b829fe1ef96bd128a467

RESEARCH PRODUCT

Natural constraints on the gluon-quark vertex

Joannis PapavassiliouLei ChangSi-xue QinDaniele BinosiCraig D. Roberts

subject

Quantum chromodynamicsPhysicsQuarkParticle physicsNuclear Theory010308 nuclear & particles physicsHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)High Energy Physics::PhenomenologyHadronStrong interactionFOS: Physical sciencesObservable01 natural sciencesGluonNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Lattice0103 physical sciencesHigh Energy Physics::ExperimentNuclear Experiment (nucl-ex)010306 general physicsNuclear ExperimentNuclear theory

description

In principle, the strong-interaction sector of the Standard Model is characterised by a unique renormalisation-group-invariant (RGI) running interaction and a unique form for the dressed--gluon-quark vertex, $\Gamma_\mu$; 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 both 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 Ansaetze for $\Gamma_\mu$. 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. Plainly, therefore, even a small selection of observables places extremely tight bounds on the domain of realistic vertex Ansaetze. This analysis and its results should prove useful in constraining insightful contemporary studies of QCD and hadronic phenomena.

https://doi.org/10.1103/physrevd.95.031501