[Submitted on 17 Dec 2019] (cross-list from hep-ph)
Effective charge from lattice QCD
Zhu-Fang Cui🇨🇳 · Jin-Li Zhang🇨🇳 · Daniele Binosi🇮🇹 · Feliciano De Soto🇪🇸 · Cédric Mezrag🇫🇷 · Joannis Papavassiliou🇪🇸 · Craig D. Roberts🇨🇳 · Jose Rodríguez-Quintero🇪🇸 · Jorge Segovia🇪🇸 · Savvas Zafeiropoulos🇫🇷
Using lattice configurations for quantum chromodynamics (QCD) generated with three domain-wall fermions at a physical pion mass, we obtain a parameter-free prediction of QCD's renormalisation-group-invariant process-independent effective charge, . Owing to the dynamical breaking of scale invariance, evident in the emergence of a gluon mass-scale, this coupling saturates at infrared momenta: . Amongst other things: is almost identical to the process-dependent (PD) effective charge defined via the Bjorken sum rule; and also that PD charge which, employed in the one-loop evolution equations, delivers agreement between pion parton distribution functions computed at the hadronic scale and experiment. The diversity of unifying roles played by suggests that it is a strong candidate for that object which represents the interaction strength in QCD at any given momentum scale; and its properties support a conclusion that QCD is a mathematically well-defined quantum field theory in four dimensions.
- Comments:
- 10 pages, 4 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
- arXiv:
- 1912.08232 [pdf]