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Glue in hadrons at medium resolution and the QCD instanton vacuum
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abstract
We discuss a general framework for the evaluation of the gluonic form factors in light hadrons at low momentum transfer, in the QCD instanton vacuum. At medium resolution of the order of the inverse mean instanton size, the glue is mostly localized in single or pair of pseudoparticles, and globally constrained by the fluctuations of their topological charges. These pseudoparticles trap light quarks, giving rise to emerging multiflavor 't Hooft interactions. We explicitly evaluate the gluonic scalar, pseudoscalar, energy-momentum tensor (EMT), and the leading C-odd and C-even three gluons hadronic form factors, at next to leading order (NLO) in the instanton density, including molecular clusters of like and unlike instantons. We use the results for the EMT to address the contribution of the gluons in Ji$^\prime$s mass and spin sum rules, at low resolution. When evolved, our results for the mass and spin composition of the nucleon, are shown to be in good agreement with the recently reported lattice results at higher resolution.
Forward citations
Cited by 4 Pith papers
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Experimental access to the gluonic origin of the proton mass
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A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.
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Anomalies, Topology, and Hadron Structure in QCD
A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).
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Generic framework for non-perturbative QCD in light hadrons
The instanton liquid model, with instanton size, density, and quark mass as its main inputs, is presented as a generic framework for light-hadron vacuum condensates, matrix elements, and form factors.
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