Wigner Distributions For Gluons

Abstract

We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate the gluon Wigner distributions at leading twist. Better numerical convergence is obtained compared to an earlier study, that removes the regulator dependence of the results. We present a first calculation of the Wigner distribution for the transversely polarized target and linearly polarized gluon. We study the spin densities in momentum and impact parameter space. We also investigate the quark and gluon helicity and orbital angular momentum distributions at small-$x$.

27 pages, 10 figures, two figures added, replaced with the revised version published in EPJC

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Cited by in corpus (16)

• Probing the Weizsäcker-Williams gluon Wigner distribution in pp collisions
• Proton Spin Structure at Small-$x$
• Transverse spin effects in hard semi-inclusive collisions
• Signature of the gluon orbital angular momentum
• Gluon distributions in the proton in a light-front spectator model
• Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
• Quark Wigner distribution of the pion meson in light-cone quark model
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• QCD evolution of the orbital angular momentum of quarks and gluons: Genuine twist-three part
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Sum rules for the Gravitational Form Factors using light-front dressed quark state
• GTMD model predictions for diffractive dijet production at EIC
• Azimuthal asymmetries in lepton and heavy-quark pair production in UPCs