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.
Highlights
The soft-wall AdS/QCD model [1,2,3], based on breaking of conformal symmetry due a quadratic dilaton field, has achieved important progress in the description and understanding of hadron structure [4]
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
All gluon parton distributions are defined in terms of the unpolarized and polarized gluon parton distribution functions (PDFs) and profile functions
Summary
The soft-wall AdS/QCD model [1,2,3], based on breaking of conformal symmetry due a quadratic dilaton field, has achieved important progress in the description and understanding of hadron structure (mass spectrum, parton distributions, form factors, thermal properties, etc.) [4]. [45] that the interpretation of the variable y in the integral representation (32) as light-cone variable is not truly correct and that one should propose a generalized x dependent light-cone variable yðxÞ With this assumption the power behavior of hadronic PDFs and GPDs at large x can be made consistent with the model-independent results of Refs. It was explicitly demonstrated how to correctly define hadronic parton distributions (PDFs, TMDs, and GPDs) in the soft-wall AdS/QCD approach, in order for them to be consistent with quark counting rules and Drell-Yan-West duality. We will derive results for gluon parton distributions (PDFs, TMDs, and GPDs) in hadrons with arbitrary quark content and spin. All parton distributions are defined in terms of profile functions depending on the light-cone coordinate and are fixed from PDFs and electromagnetic form factors. We just take into account that in case of gluons we should use specific values of twist and the available normalization conditions for gluon parton densities
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