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Description
We study the leading twist gluon generalized parton distributions (GPDs) and the Wigner distributions of the gluons in the proton within a light-cone spectator model. The model provides an approach to generate the gluon degree of freedom from the proton target, in which the proton is regarded as a two-particle composite system composed of an active gluon ($g$) and a spectator particle ($uud$). We present the numerical results of $H^g$, $E^g$, $\tilde{H}^g$, $H_T^g$ and $E_T^g$ as functions of $x$ at different $\Delta_\perp$. The Wigner distributions $W_{UU}$, $W_{LU}$, $W_{UL}$ and $W_{LL}$ are also provided. Using the above results, we further investigate the total angular momentum, the orbit angular momentum and the spin-orbit correlations of gluons.