Gluon parton densities in soft-wall AdS/QCD

We study the gluon parton densities [parton distribution functions (PDFs), transverse momentum distributions (TMDs), generalized parton distributions (GPDs)] and form factors in soft-wall AdS/QCD. We show that the power behavior of gluon parton distributions and form factors at large values of the light-cone variable and large values of square momentum is consistent with quark counting rules. We also show that the transverse momentum distributions derived in our approach obey the model-independent Mulders-Rodrigues inequalities without referring to specific model parameters. All gluon parton distributions are defined in terms of the unpolarized and polarized gluon PDFs and profile functions. The latter are related to gluon PDFs via differential equations.

Automated summary

In this study, gluon parton densities and form factors in the soft-wall AdS/QCD model were examined, showing that their power behavior at large values of the light-cone variable and square momentum align with quark counting rules. The transverse momentum distributions derived from this approach also adhere to the model-independent Mulders-Rodrigues inequalities without the need for specific model parameters. All gluon parton distributions are defined in terms of unpolarized and polarized gluon PDFs and profile functions, which are related to gluon PDFs via differential equations.