Scaling of PDFs, TMDs, and GPDs in soft-wall AdS/QCD
Valery E. Lyubovitskij, Ivan Schmidt
TL;DR
This paper demonstrates how to properly define hadronic parton distributions within the soft-wall AdS/QCD framework, ensuring consistency with known QCD behaviors and symmetries.
Contribution
It provides a method to define PDFs, TMDs, and GPDs in soft-wall AdS/QCD using profile functions derived from form factors and PDFs.
Findings
Parton distributions follow quark counting rules at large x.
Distributions are consistent with Drell-Yan-West duality.
Profile functions depend on the light-cone coordinate.
Abstract
We explicitly demonstrate how to correctly define the hadronic parton distributions (PDFs, TMDs, and GPDs) in the soft-wall AdS/QCD approach, based on the use of a quadratic dilaton field, providing confinement and spontaneous breaking of conformal and chiral symmetries. The power behavior of parton distributions at large values of the light-cone variable is consistent with quark counting rules and Drell-Yan-West duality. All parton distributions are defined in terms of profile functions, which depend on the light-cone coordinate and are fixed from PDFs and electromagnetic form factors.
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