Dynamics of holographic vacuum energy in the DGP model

Understand

We consider the evolution of the vacuum energy in the DGP model according to the holographic principle under the assumption that the relation linking the IR and UV cut-offs still holds in this scenario.

• The model is studied when the IR cut-off is chosen to be the Hubble scale $H^{-1}$, the particle horizon $R_{\rm ph}$ and the future event horizon $R_{\rm eh}$, respectively.
• And the two branches of the DGP model are also taken into account.
• Through numerical analysis, we find that in the cases of $H^{-1}$ in the (+) branch and $R_{\rm eh}$ in both branches, the vacuum energy can play the role of dark energy.