Gluon parton densities in soft-wall AdS/QCD

TL;DR

This paper investigates gluon parton densities and form factors within the soft-wall AdS/QCD framework, demonstrating consistency with quark counting rules and model-independent inequalities, and establishing relations between distributions and profile functions.

Contribution

It introduces a novel approach to compute gluon PDFs, TMDs, and GPDs in soft-wall AdS/QCD, ensuring consistency with known theoretical constraints.

Findings

Gluon distributions follow quark counting rules at large momentum.

Transverse momentum distributions satisfy Mulders-Rodrigues inequalities.

Gluon PDFs are related to profile functions via differential equations.

Abstract

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.