Subleading Twist-3 Gluon Generalized Parton Distributions in the Light-Front Model

Abstract

We present a calculation of the twist-3 generalized parton distributions (GPDs) for gluons in the proton. Our analysis is performed within a light-front constituent model where the proton is treated as a two-body state of a spin-1 gluon and a spin-1/2 spectator system. The requisite light-front wave functions are derived from the soft-wall AdS/QCD correspondence. We compute the complete set of twist-3 gluon GPDs over a broad kinematic range. The corresponding distributions in impact parameter space are obtained via Fourier transform, revealing the transverse spatial distribution of gluons. Furthermore, we evaluate the contribution of these GPDs to the gluon kinetic orbital angular momentum (OAM) and compare our findings with other theoretical predictions.