The ground state energy per site of the quantum and classical Edwards-Anderson spin-glass model in the thermodynamic limit

We derive rigorous lower bounds for the average ground-state energy per site $e^{(d)}$ of the quantum and classical Edwards-Anderson spin-glass model in dimensions $d=2$ and $d=3$ in the thermodynamic limit. For the classical model they imply that $e^{(2)}\ge -3\mathrm{/}2$ and $e^{(3)}\ge -\mathrm{2.204...}$.